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Finding the Third Proportional to 116,691 and 237,663

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Solution

The third proportional to 116,691 and 237,663 is: 484,045.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,691 : 237,663 = 237,663 : x
  2. Step 2: Convert to fraction form
    116,691/237,663 = 237,663/x
  3. Step 3: Cross multiply
    116,691x = 237,663 × 237,663
  4. Step 4: Simplify right side
    116,691x = 56,483,701,569
  5. Step 5: Solve for x
    x = 56,483,701,569/116,691
  6. Step 6: Final answer
    x = 484,045.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.