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Finding the Third Proportional to 108,098 and 237,508

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Solution

The third proportional to 108,098 and 237,508 is: 521,841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,098 : 237,508 = 237,508 : x
  2. Step 2: Convert to fraction form
    108,098/237,508 = 237,508/x
  3. Step 3: Cross multiply
    108,098x = 237,508 × 237,508
  4. Step 4: Simplify right side
    108,098x = 56,410,050,064
  5. Step 5: Solve for x
    x = 56,410,050,064/108,098
  6. Step 6: Final answer
    x = 521,841.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.