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Finding the Third Proportional to 151,898 and 332,389

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Solution

The third proportional to 151,898 and 332,389 is: 727,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,898 : 332,389 = 332,389 : x
  2. Step 2: Convert to fraction form
    151,898/332,389 = 332,389/x
  3. Step 3: Cross multiply
    151,898x = 332,389 × 332,389
  4. Step 4: Simplify right side
    151,898x = 110,482,447,321
  5. Step 5: Solve for x
    x = 110,482,447,321/151,898
  6. Step 6: Final answer
    x = 727,346.29

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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.