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Finding the Third Proportional to 151,542 and 319,059

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Solution

The third proportional to 151,542 and 319,059 is: 671,752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,542 : 319,059 = 319,059 : x
  2. Step 2: Convert to fraction form
    151,542/319,059 = 319,059/x
  3. Step 3: Cross multiply
    151,542x = 319,059 × 319,059
  4. Step 4: Simplify right side
    151,542x = 101,798,645,481
  5. Step 5: Solve for x
    x = 101,798,645,481/151,542
  6. Step 6: Final answer
    x = 671,752.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.