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Finding the Third Proportional to 171,457.38 and 366,557.43

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Solution

The third proportional to 171,457.38 and 366,557.43 is: 783,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,457.38 : 366,557.43 = 366,557.43 : x
  2. Step 2: Convert to fraction form
    171,457.38/366,557.43 = 366,557.43/x
  3. Step 3: Cross multiply
    171,457.38x = 366,557.43 × 366,557.43
  4. Step 4: Simplify right side
    171,457.38x = 134,364,350,690.97
  5. Step 5: Solve for x
    x = 134,364,350,690.97/171,457.38
  6. Step 6: Final answer
    x = 783,660.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.