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Finding the Third Proportional to 116,347 and 251,261

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Solution

The third proportional to 116,347 and 251,261 is: 542,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,347 : 251,261 = 251,261 : x
  2. Step 2: Convert to fraction form
    116,347/251,261 = 251,261/x
  3. Step 3: Cross multiply
    116,347x = 251,261 × 251,261
  4. Step 4: Simplify right side
    116,347x = 63,132,090,121
  5. Step 5: Solve for x
    x = 63,132,090,121/116,347
  6. Step 6: Final answer
    x = 542,618.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.