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Finding the Third Proportional to 268,350 and 363,159

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Solution

The third proportional to 268,350 and 363,159 is: 491,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,350 : 363,159 = 363,159 : x
  2. Step 2: Convert to fraction form
    268,350/363,159 = 363,159/x
  3. Step 3: Cross multiply
    268,350x = 363,159 × 363,159
  4. Step 4: Simplify right side
    268,350x = 131,884,459,281
  5. Step 5: Solve for x
    x = 131,884,459,281/268,350
  6. Step 6: Final answer
    x = 491,464.35

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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.