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Finding the Third Proportional to 170,337.38 and 264,493.13

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Solution

The third proportional to 170,337.38 and 264,493.13 is: 410,694.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,337.38 : 264,493.13 = 264,493.13 : x
  2. Step 2: Convert to fraction form
    170,337.38/264,493.13 = 264,493.13/x
  3. Step 3: Cross multiply
    170,337.38x = 264,493.13 × 264,493.13
  4. Step 4: Simplify right side
    170,337.38x = 69,956,613,172.27
  5. Step 5: Solve for x
    x = 69,956,613,172.27/170,337.38
  6. Step 6: Final answer
    x = 410,694.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.