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Finding the Third Proportional to 267,339.66 and 363,192.19

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Solution

The third proportional to 267,339.66 and 363,192.19 is: 493,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,339.66 : 363,192.19 = 363,192.19 : x
  2. Step 2: Convert to fraction form
    267,339.66/363,192.19 = 363,192.19/x
  3. Step 3: Cross multiply
    267,339.66x = 363,192.19 × 363,192.19
  4. Step 4: Simplify right side
    267,339.66x = 131,908,565,061.04
  5. Step 5: Solve for x
    x = 131,908,565,061.04/267,339.66
  6. Step 6: Final answer
    x = 493,411.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.