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Finding the Third Proportional to 147,982.25 and 319,610.13

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Solution

The third proportional to 147,982.25 and 319,610.13 is: 690,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,982.25 : 319,610.13 = 319,610.13 : x
  2. Step 2: Convert to fraction form
    147,982.25/319,610.13 = 319,610.13/x
  3. Step 3: Cross multiply
    147,982.25x = 319,610.13 × 319,610.13
  4. Step 4: Simplify right side
    147,982.25x = 102,150,632,002.52
  5. Step 5: Solve for x
    x = 102,150,632,002.52/147,982.25
  6. Step 6: Final answer
    x = 690,289.76

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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.