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Finding the Third Proportional to 148,356 and 329,882

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Solution

The third proportional to 148,356 and 329,882 is: 733,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,356 : 329,882 = 329,882 : x
  2. Step 2: Convert to fraction form
    148,356/329,882 = 329,882/x
  3. Step 3: Cross multiply
    148,356x = 329,882 × 329,882
  4. Step 4: Simplify right side
    148,356x = 108,822,133,924
  5. Step 5: Solve for x
    x = 108,822,133,924/148,356
  6. Step 6: Final answer
    x = 733,520.28

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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.