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Finding the Third Proportional to 268,363.13 and 363,178.69

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Solution

The third proportional to 268,363.13 and 363,178.69 is: 491,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,363.13 : 363,178.69 = 363,178.69 : x
  2. Step 2: Convert to fraction form
    268,363.13/363,178.69 = 363,178.69/x
  3. Step 3: Cross multiply
    268,363.13x = 363,178.69 × 363,178.69
  4. Step 4: Simplify right side
    268,363.13x = 131,898,759,054.22
  5. Step 5: Solve for x
    x = 131,898,759,054.22/268,363.13
  6. Step 6: Final answer
    x = 491,493.60

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