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Finding the Third Proportional to 273,252.38 and 382,110.75

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Solution

The third proportional to 273,252.38 and 382,110.75 is: 534,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,252.38 : 382,110.75 = 382,110.75 : x
  2. Step 2: Convert to fraction form
    273,252.38/382,110.75 = 382,110.75/x
  3. Step 3: Cross multiply
    273,252.38x = 382,110.75 × 382,110.75
  4. Step 4: Simplify right side
    273,252.38x = 146,008,625,265.56
  5. Step 5: Solve for x
    x = 146,008,625,265.56/273,252.38
  6. Step 6: Final answer
    x = 534,336.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.