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Finding the Third Proportional to 147,594 and 221,418

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Solution

The third proportional to 147,594 and 221,418 is: 332,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,594 : 221,418 = 221,418 : x
  2. Step 2: Convert to fraction form
    147,594/221,418 = 221,418/x
  3. Step 3: Cross multiply
    147,594x = 221,418 × 221,418
  4. Step 4: Simplify right side
    147,594x = 49,025,930,724
  5. Step 5: Solve for x
    x = 49,025,930,724/147,594
  6. Step 6: Final answer
    x = 332,167.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.