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Finding the Third Proportional to 147,166.88 and 317,861.72

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Solution

The third proportional to 147,166.88 and 317,861.72 is: 686,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,166.88 : 317,861.72 = 317,861.72 : x
  2. Step 2: Convert to fraction form
    147,166.88/317,861.72 = 317,861.72/x
  3. Step 3: Cross multiply
    147,166.88x = 317,861.72 × 317,861.72
  4. Step 4: Simplify right side
    147,166.88x = 101,036,072,246.70
  5. Step 5: Solve for x
    x = 101,036,072,246.70/147,166.88
  6. Step 6: Final answer
    x = 686,540.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.