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Finding the Third Proportional to 268,435.13 and 363,259.69

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Solution

The third proportional to 268,435.13 and 363,259.69 is: 491,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,435.13 : 363,259.69 = 363,259.69 : x
  2. Step 2: Convert to fraction form
    268,435.13/363,259.69 = 363,259.69/x
  3. Step 3: Cross multiply
    268,435.13x = 363,259.69 × 363,259.69
  4. Step 4: Simplify right side
    268,435.13x = 131,957,600,562.60
  5. Step 5: Solve for x
    x = 131,957,600,562.60/268,435.13
  6. Step 6: Final answer
    x = 491,580.98

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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.