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Finding the Third Proportional to 207,195.19 and 292,454.44

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Solution

The third proportional to 207,195.19 and 292,454.44 is: 412,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,195.19 : 292,454.44 = 292,454.44 : x
  2. Step 2: Convert to fraction form
    207,195.19/292,454.44 = 292,454.44/x
  3. Step 3: Cross multiply
    207,195.19x = 292,454.44 × 292,454.44
  4. Step 4: Simplify right side
    207,195.19x = 85,529,598,013.44
  5. Step 5: Solve for x
    x = 85,529,598,013.44/207,195.19
  6. Step 6: Final answer
    x = 412,797.22

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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.