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Finding the Third Proportional to 114,301.13 and 177,238.13

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Solution

The third proportional to 114,301.13 and 177,238.13 is: 274,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,301.13 : 177,238.13 = 177,238.13 : x
  2. Step 2: Convert to fraction form
    114,301.13/177,238.13 = 177,238.13/x
  3. Step 3: Cross multiply
    114,301.13x = 177,238.13 × 177,238.13
  4. Step 4: Simplify right side
    114,301.13x = 31,413,352,953.52
  5. Step 5: Solve for x
    x = 31,413,352,953.52/114,301.13
  6. Step 6: Final answer
    x = 274,829.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.