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Finding the Third Proportional to 149,432 and 322,479

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Solution

The third proportional to 149,432 and 322,479 is: 695,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,432 : 322,479 = 322,479 : x
  2. Step 2: Convert to fraction form
    149,432/322,479 = 322,479/x
  3. Step 3: Cross multiply
    149,432x = 322,479 × 322,479
  4. Step 4: Simplify right side
    149,432x = 103,992,705,441
  5. Step 5: Solve for x
    x = 103,992,705,441/149,432
  6. Step 6: Final answer
    x = 695,919.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.