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Finding the Third Proportional to 134,211.38 and 292,039.88

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Solution

The third proportional to 134,211.38 and 292,039.88 is: 635,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,211.38 : 292,039.88 = 292,039.88 : x
  2. Step 2: Convert to fraction form
    134,211.38/292,039.88 = 292,039.88/x
  3. Step 3: Cross multiply
    134,211.38x = 292,039.88 × 292,039.88
  4. Step 4: Simplify right side
    134,211.38x = 85,287,288,590.02
  5. Step 5: Solve for x
    x = 85,287,288,590.02/134,211.38
  6. Step 6: Final answer
    x = 635,469.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.