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Finding the Third Proportional to 151,153.50 and 329,523

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Solution

The third proportional to 151,153.50 and 329,523 is: 718,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,153.50 : 329,523 = 329,523 : x
  2. Step 2: Convert to fraction form
    151,153.50/329,523 = 329,523/x
  3. Step 3: Cross multiply
    151,153.50x = 329,523 × 329,523
  4. Step 4: Simplify right side
    151,153.50x = 108,585,407,529
  5. Step 5: Solve for x
    x = 108,585,407,529/151,153.50
  6. Step 6: Final answer
    x = 718,378.39

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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.