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Finding the Third Proportional to 147,708.56 and 322,150.92

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Solution

The third proportional to 147,708.56 and 322,150.92 is: 702,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,708.56 : 322,150.92 = 322,150.92 : x
  2. Step 2: Convert to fraction form
    147,708.56/322,150.92 = 322,150.92/x
  3. Step 3: Cross multiply
    147,708.56x = 322,150.92 × 322,150.92
  4. Step 4: Simplify right side
    147,708.56x = 103,781,216,464.91
  5. Step 5: Solve for x
    x = 103,781,216,464.91/147,708.56
  6. Step 6: Final answer
    x = 702,607.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.