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Finding the Third Proportional to 151,378.88 and 318,441.38

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Solution

The third proportional to 151,378.88 and 318,441.38 is: 669,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,378.88 : 318,441.38 = 318,441.38 : x
  2. Step 2: Convert to fraction form
    151,378.88/318,441.38 = 318,441.38/x
  3. Step 3: Cross multiply
    151,378.88x = 318,441.38 × 318,441.38
  4. Step 4: Simplify right side
    151,378.88x = 101,404,909,311.89
  5. Step 5: Solve for x
    x = 101,404,909,311.89/151,378.88
  6. Step 6: Final answer
    x = 669,874.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.