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Finding the Third Proportional to 207,628.31 and 326,197.13

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Solution

The third proportional to 207,628.31 and 326,197.13 is: 512,476.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,628.31 : 326,197.13 = 326,197.13 : x
  2. Step 2: Convert to fraction form
    207,628.31/326,197.13 = 326,197.13/x
  3. Step 3: Cross multiply
    207,628.31x = 326,197.13 × 326,197.13
  4. Step 4: Simplify right side
    207,628.31x = 106,404,564,358.27
  5. Step 5: Solve for x
    x = 106,404,564,358.27/207,628.31
  6. Step 6: Final answer
    x = 512,476.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.