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Finding the Third Proportional to 118,780.59 and 256,127.91

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Solution

The third proportional to 118,780.59 and 256,127.91 is: 552,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,780.59 : 256,127.91 = 256,127.91 : x
  2. Step 2: Convert to fraction form
    118,780.59/256,127.91 = 256,127.91/x
  3. Step 3: Cross multiply
    118,780.59x = 256,127.91 × 256,127.91
  4. Step 4: Simplify right side
    118,780.59x = 65,601,504,360.01
  5. Step 5: Solve for x
    x = 65,601,504,360.01/118,780.59
  6. Step 6: Final answer
    x = 552,291.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.