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Finding the Third Proportional to 151,344 and 322,524

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Solution

The third proportional to 151,344 and 322,524 is: 687,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,344 : 322,524 = 322,524 : x
  2. Step 2: Convert to fraction form
    151,344/322,524 = 322,524/x
  3. Step 3: Cross multiply
    151,344x = 322,524 × 322,524
  4. Step 4: Simplify right side
    151,344x = 104,021,730,576
  5. Step 5: Solve for x
    x = 104,021,730,576/151,344
  6. Step 6: Final answer
    x = 687,319.82

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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.