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Finding the Third Proportional to 135,744 and 292,524

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Solution

The third proportional to 135,744 and 292,524 is: 630,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,744 : 292,524 = 292,524 : x
  2. Step 2: Convert to fraction form
    135,744/292,524 = 292,524/x
  3. Step 3: Cross multiply
    135,744x = 292,524 × 292,524
  4. Step 4: Simplify right side
    135,744x = 85,570,290,576
  5. Step 5: Solve for x
    x = 85,570,290,576/135,744
  6. Step 6: Final answer
    x = 630,379.91

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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.