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Finding the Third Proportional to 116,663 and 180,463

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Solution

The third proportional to 116,663 and 180,463 is: 279,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,663 : 180,463 = 180,463 : x
  2. Step 2: Convert to fraction form
    116,663/180,463 = 180,463/x
  3. Step 3: Cross multiply
    116,663x = 180,463 × 180,463
  4. Step 4: Simplify right side
    116,663x = 32,566,894,369
  5. Step 5: Solve for x
    x = 32,566,894,369/116,663
  6. Step 6: Final answer
    x = 279,153.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.