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Finding the Third Proportional to 151,337 and 332,068

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Solution

The third proportional to 151,337 and 332,068 is: 728,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,337 : 332,068 = 332,068 : x
  2. Step 2: Convert to fraction form
    151,337/332,068 = 332,068/x
  3. Step 3: Cross multiply
    151,337x = 332,068 × 332,068
  4. Step 4: Simplify right side
    151,337x = 110,269,156,624
  5. Step 5: Solve for x
    x = 110,269,156,624/151,337
  6. Step 6: Final answer
    x = 728,633.16

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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.