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Finding the Third Proportional to 108,785 and 237,496

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Solution

The third proportional to 108,785 and 237,496 is: 518,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,785 : 237,496 = 237,496 : x
  2. Step 2: Convert to fraction form
    108,785/237,496 = 237,496/x
  3. Step 3: Cross multiply
    108,785x = 237,496 × 237,496
  4. Step 4: Simplify right side
    108,785x = 56,404,350,016
  5. Step 5: Solve for x
    x = 56,404,350,016/108,785
  6. Step 6: Final answer
    x = 518,493.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.