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Finding the Third Proportional to 155,306 and 332,744

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Solution

The third proportional to 155,306 and 332,744 is: 712,905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,306 : 332,744 = 332,744 : x
  2. Step 2: Convert to fraction form
    155,306/332,744 = 332,744/x
  3. Step 3: Cross multiply
    155,306x = 332,744 × 332,744
  4. Step 4: Simplify right side
    155,306x = 110,718,569,536
  5. Step 5: Solve for x
    x = 110,718,569,536/155,306
  6. Step 6: Final answer
    x = 712,905.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.