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Finding the Third Proportional to 153,151.50 and 351,523

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Solution

The third proportional to 153,151.50 and 351,523 is: 806,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,151.50 : 351,523 = 351,523 : x
  2. Step 2: Convert to fraction form
    153,151.50/351,523 = 351,523/x
  3. Step 3: Cross multiply
    153,151.50x = 351,523 × 351,523
  4. Step 4: Simplify right side
    153,151.50x = 123,568,419,529
  5. Step 5: Solve for x
    x = 123,568,419,529/153,151.50
  6. Step 6: Final answer
    x = 806,837.80

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.