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Finding the Third Proportional to 268,314.75 and 363,106.13

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Solution

The third proportional to 268,314.75 and 363,106.13 is: 491,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,314.75 : 363,106.13 = 363,106.13 : x
  2. Step 2: Convert to fraction form
    268,314.75/363,106.13 = 363,106.13/x
  3. Step 3: Cross multiply
    268,314.75x = 363,106.13 × 363,106.13
  4. Step 4: Simplify right side
    268,314.75x = 131,846,058,012.52
  5. Step 5: Solve for x
    x = 131,846,058,012.52/268,314.75
  6. Step 6: Final answer
    x = 491,385.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.