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Finding the Third Proportional to 267,342.75 and 363,196.50

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Solution

The third proportional to 267,342.75 and 363,196.50 is: 493,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,342.75 : 363,196.50 = 363,196.50 : x
  2. Step 2: Convert to fraction form
    267,342.75/363,196.50 = 363,196.50/x
  3. Step 3: Cross multiply
    267,342.75x = 363,196.50 × 363,196.50
  4. Step 4: Simplify right side
    267,342.75x = 131,911,697,612.25
  5. Step 5: Solve for x
    x = 131,911,697,612.25/267,342.75
  6. Step 6: Final answer
    x = 493,417.90

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.