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Finding the Third Proportional to 114,630.19 and 269,720.02

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Solution

The third proportional to 114,630.19 and 269,720.02 is: 634,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,630.19 : 269,720.02 = 269,720.02 : x
  2. Step 2: Convert to fraction form
    114,630.19/269,720.02 = 269,720.02/x
  3. Step 3: Cross multiply
    114,630.19x = 269,720.02 × 269,720.02
  4. Step 4: Simplify right side
    114,630.19x = 72,748,886,828.75
  5. Step 5: Solve for x
    x = 72,748,886,828.75/114,630.19
  6. Step 6: Final answer
    x = 634,639.87

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.