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Finding the Third Proportional to 207,311.06 and 452,142

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Solution

The third proportional to 207,311.06 and 452,142 is: 986,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,311.06 : 452,142 = 452,142 : x
  2. Step 2: Convert to fraction form
    207,311.06/452,142 = 452,142/x
  3. Step 3: Cross multiply
    207,311.06x = 452,142 × 452,142
  4. Step 4: Simplify right side
    207,311.06x = 204,432,388,164
  5. Step 5: Solve for x
    x = 204,432,388,164/207,311.06
  6. Step 6: Final answer
    x = 986,114.23

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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.