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Finding the Third Proportional to 149,562 and 329,484

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Solution

The third proportional to 149,562 and 329,484 is: 725,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,562 : 329,484 = 329,484 : x
  2. Step 2: Convert to fraction form
    149,562/329,484 = 329,484/x
  3. Step 3: Cross multiply
    149,562x = 329,484 × 329,484
  4. Step 4: Simplify right side
    149,562x = 108,559,706,256
  5. Step 5: Solve for x
    x = 108,559,706,256/149,562
  6. Step 6: Final answer
    x = 725,850.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.