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Finding the Third Proportional to 135,424.13 and 288,343.69

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Solution

The third proportional to 135,424.13 and 288,343.69 is: 613,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,424.13 : 288,343.69 = 288,343.69 : x
  2. Step 2: Convert to fraction form
    135,424.13/288,343.69 = 288,343.69/x
  3. Step 3: Cross multiply
    135,424.13x = 288,343.69 × 288,343.69
  4. Step 4: Simplify right side
    135,424.13x = 83,142,082,121.10
  5. Step 5: Solve for x
    x = 83,142,082,121.10/135,424.13
  6. Step 6: Final answer
    x = 613,938.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.