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Finding the Third Proportional to 148,216 and 324,542

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Solution

The third proportional to 148,216 and 324,542 is: 710,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,216 : 324,542 = 324,542 : x
  2. Step 2: Convert to fraction form
    148,216/324,542 = 324,542/x
  3. Step 3: Cross multiply
    148,216x = 324,542 × 324,542
  4. Step 4: Simplify right side
    148,216x = 105,327,509,764
  5. Step 5: Solve for x
    x = 105,327,509,764/148,216
  6. Step 6: Final answer
    x = 710,635.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.