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Finding the Third Proportional to 116,417 and 251,380

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Solution

The third proportional to 116,417 and 251,380 is: 542,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,417 : 251,380 = 251,380 : x
  2. Step 2: Convert to fraction form
    116,417/251,380 = 251,380/x
  3. Step 3: Cross multiply
    116,417x = 251,380 × 251,380
  4. Step 4: Simplify right side
    116,417x = 63,191,904,400
  5. Step 5: Solve for x
    x = 63,191,904,400/116,417
  6. Step 6: Final answer
    x = 542,806.50

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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.