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Finding the Third Proportional to 159,554 and 345,524

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Solution

The third proportional to 159,554 and 345,524 is: 748,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,554 : 345,524 = 345,524 : x
  2. Step 2: Convert to fraction form
    159,554/345,524 = 345,524/x
  3. Step 3: Cross multiply
    159,554x = 345,524 × 345,524
  4. Step 4: Simplify right side
    159,554x = 119,386,834,576
  5. Step 5: Solve for x
    x = 119,386,834,576/159,554
  6. Step 6: Final answer
    x = 748,253.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.