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Finding the Third Proportional to 156,873.38 and 343,686.38

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Solution

The third proportional to 156,873.38 and 343,686.38 is: 752,966.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,873.38 : 343,686.38 = 343,686.38 : x
  2. Step 2: Convert to fraction form
    156,873.38/343,686.38 = 343,686.38/x
  3. Step 3: Cross multiply
    156,873.38x = 343,686.38 × 343,686.38
  4. Step 4: Simplify right side
    156,873.38x = 118,120,324,360.64
  5. Step 5: Solve for x
    x = 118,120,324,360.64/156,873.38
  6. Step 6: Final answer
    x = 752,966.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.