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Finding the Third Proportional to 118,207.13 and 256,507.13

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Solution

The third proportional to 118,207.13 and 256,507.13 is: 556,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,207.13 : 256,507.13 = 256,507.13 : x
  2. Step 2: Convert to fraction form
    118,207.13/256,507.13 = 256,507.13/x
  3. Step 3: Cross multiply
    118,207.13x = 256,507.13 × 256,507.13
  4. Step 4: Simplify right side
    118,207.13x = 65,795,905,175.77
  5. Step 5: Solve for x
    x = 65,795,905,175.77/118,207.13
  6. Step 6: Final answer
    x = 556,615.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.