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Finding the Third Proportional to 118,729.13 and 256,402.13

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Solution

The third proportional to 118,729.13 and 256,402.13 is: 553,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,729.13 : 256,402.13 = 256,402.13 : x
  2. Step 2: Convert to fraction form
    118,729.13/256,402.13 = 256,402.13/x
  3. Step 3: Cross multiply
    118,729.13x = 256,402.13 × 256,402.13
  4. Step 4: Simplify right side
    118,729.13x = 65,742,049,704.52
  5. Step 5: Solve for x
    x = 65,742,049,704.52/118,729.13
  6. Step 6: Final answer
    x = 553,714.60

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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.