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Finding the Third Proportional to 148,228 and 329,611

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Solution

The third proportional to 148,228 and 329,611 is: 732,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,228 : 329,611 = 329,611 : x
  2. Step 2: Convert to fraction form
    148,228/329,611 = 329,611/x
  3. Step 3: Cross multiply
    148,228x = 329,611 × 329,611
  4. Step 4: Simplify right side
    148,228x = 108,643,411,321
  5. Step 5: Solve for x
    x = 108,643,411,321/148,228
  6. Step 6: Final answer
    x = 732,947.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.