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Finding the Third Proportional to 267,651 and 363,325.50

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Solution

The third proportional to 267,651 and 363,325.50 is: 493,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,651 : 363,325.50 = 363,325.50 : x
  2. Step 2: Convert to fraction form
    267,651/363,325.50 = 363,325.50/x
  3. Step 3: Cross multiply
    267,651x = 363,325.50 × 363,325.50
  4. Step 4: Simplify right side
    267,651x = 132,005,418,950.25
  5. Step 5: Solve for x
    x = 132,005,418,950.25/267,651
  6. Step 6: Final answer
    x = 493,199.80

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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.