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Finding the Third Proportional to 116,082 and 247,344

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Solution

The third proportional to 116,082 and 247,344 is: 527,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,082 : 247,344 = 247,344 : x
  2. Step 2: Convert to fraction form
    116,082/247,344 = 247,344/x
  3. Step 3: Cross multiply
    116,082x = 247,344 × 247,344
  4. Step 4: Simplify right side
    116,082x = 61,179,054,336
  5. Step 5: Solve for x
    x = 61,179,054,336/116,082
  6. Step 6: Final answer
    x = 527,033.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.