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Finding the Third Proportional to 114,422.06 and 239,301.56

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Solution

The third proportional to 114,422.06 and 239,301.56 is: 500,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,422.06 : 239,301.56 = 239,301.56 : x
  2. Step 2: Convert to fraction form
    114,422.06/239,301.56 = 239,301.56/x
  3. Step 3: Cross multiply
    114,422.06x = 239,301.56 × 239,301.56
  4. Step 4: Simplify right side
    114,422.06x = 57,265,237,814.94
  5. Step 5: Solve for x
    x = 57,265,237,814.94/114,422.06
  6. Step 6: Final answer
    x = 500,473.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.