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Finding the Third Proportional to 151,885 and 332,363

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Solution

The third proportional to 151,885 and 332,363 is: 727,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,885 : 332,363 = 332,363 : x
  2. Step 2: Convert to fraction form
    151,885/332,363 = 332,363/x
  3. Step 3: Cross multiply
    151,885x = 332,363 × 332,363
  4. Step 4: Simplify right side
    151,885x = 110,465,163,769
  5. Step 5: Solve for x
    x = 110,465,163,769/151,885
  6. Step 6: Final answer
    x = 727,294.75

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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.