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Finding the Third Proportional to 151,441.13 and 318,577.13

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Solution

The third proportional to 151,441.13 and 318,577.13 is: 670,170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,441.13 : 318,577.13 = 318,577.13 : x
  2. Step 2: Convert to fraction form
    151,441.13/318,577.13 = 318,577.13/x
  3. Step 3: Cross multiply
    151,441.13x = 318,577.13 × 318,577.13
  4. Step 4: Simplify right side
    151,441.13x = 101,491,384,573.27
  5. Step 5: Solve for x
    x = 101,491,384,573.27/151,441.13
  6. Step 6: Final answer
    x = 670,170.57

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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.