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Finding the Third Proportional to 151,732 and 332,489

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Solution

The third proportional to 151,732 and 332,489 is: 728,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,732 : 332,489 = 332,489 : x
  2. Step 2: Convert to fraction form
    151,732/332,489 = 332,489/x
  3. Step 3: Cross multiply
    151,732x = 332,489 × 332,489
  4. Step 4: Simplify right side
    151,732x = 110,548,935,121
  5. Step 5: Solve for x
    x = 110,548,935,121/151,732
  6. Step 6: Final answer
    x = 728,580.23

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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.