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Finding the Third Proportional to 207,194.06 and 292,452.75

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Solution

The third proportional to 207,194.06 and 292,452.75 is: 412,794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,194.06 : 292,452.75 = 292,452.75 : x
  2. Step 2: Convert to fraction form
    207,194.06/292,452.75 = 292,452.75/x
  3. Step 3: Cross multiply
    207,194.06x = 292,452.75 × 292,452.75
  4. Step 4: Simplify right side
    207,194.06x = 85,528,610,982.56
  5. Step 5: Solve for x
    x = 85,528,610,982.56/207,194.06
  6. Step 6: Final answer
    x = 412,794.70

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.