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Finding the Third Proportional to 108,708 and 237,342

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Solution

The third proportional to 108,708 and 237,342 is: 518,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,708 : 237,342 = 237,342 : x
  2. Step 2: Convert to fraction form
    108,708/237,342 = 237,342/x
  3. Step 3: Cross multiply
    108,708x = 237,342 × 237,342
  4. Step 4: Simplify right side
    108,708x = 56,331,224,964
  5. Step 5: Solve for x
    x = 56,331,224,964/108,708
  6. Step 6: Final answer
    x = 518,188.40

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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.