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Finding the Third Proportional to 149,854 and 327,320

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Solution

The third proportional to 149,854 and 327,320 is: 714,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,854 : 327,320 = 327,320 : x
  2. Step 2: Convert to fraction form
    149,854/327,320 = 327,320/x
  3. Step 3: Cross multiply
    149,854x = 327,320 × 327,320
  4. Step 4: Simplify right side
    149,854x = 107,138,382,400
  5. Step 5: Solve for x
    x = 107,138,382,400/149,854
  6. Step 6: Final answer
    x = 714,951.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.