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Finding the Third Proportional to 202,753.13 and 303,400.69

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Solution

The third proportional to 202,753.13 and 303,400.69 is: 454,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,753.13 : 303,400.69 = 303,400.69 : x
  2. Step 2: Convert to fraction form
    202,753.13/303,400.69 = 303,400.69/x
  3. Step 3: Cross multiply
    202,753.13x = 303,400.69 × 303,400.69
  4. Step 4: Simplify right side
    202,753.13x = 92,051,977,175.47
  5. Step 5: Solve for x
    x = 92,051,977,175.47/202,753.13
  6. Step 6: Final answer
    x = 454,010.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.