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Finding the Third Proportional to 149,956.31 and 316,770.75

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Solution

The third proportional to 149,956.31 and 316,770.75 is: 669,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,956.31 : 316,770.75 = 316,770.75 : x
  2. Step 2: Convert to fraction form
    149,956.31/316,770.75 = 316,770.75/x
  3. Step 3: Cross multiply
    149,956.31x = 316,770.75 × 316,770.75
  4. Step 4: Simplify right side
    149,956.31x = 100,343,708,055.56
  5. Step 5: Solve for x
    x = 100,343,708,055.56/149,956.31
  6. Step 6: Final answer
    x = 669,152.94

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.