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Finding the Third Proportional to 207,325.41 and 452,167.31

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Solution

The third proportional to 207,325.41 and 452,167.31 is: 986,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,325.41 : 452,167.31 = 452,167.31 : x
  2. Step 2: Convert to fraction form
    207,325.41/452,167.31 = 452,167.31/x
  3. Step 3: Cross multiply
    207,325.41x = 452,167.31 × 452,167.31
  4. Step 4: Simplify right side
    207,325.41x = 204,455,278,493.47
  5. Step 5: Solve for x
    x = 204,455,278,493.47/207,325.41
  6. Step 6: Final answer
    x = 986,156.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.