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Finding the Third Proportional to 134,353.69 and 288,613.13

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Solution

The third proportional to 134,353.69 and 288,613.13 is: 619,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,353.69 : 288,613.13 = 288,613.13 : x
  2. Step 2: Convert to fraction form
    134,353.69/288,613.13 = 288,613.13/x
  3. Step 3: Cross multiply
    134,353.69x = 288,613.13 × 288,613.13
  4. Step 4: Simplify right side
    134,353.69x = 83,297,535,922.27
  5. Step 5: Solve for x
    x = 83,297,535,922.27/134,353.69
  6. Step 6: Final answer
    x = 619,986.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.