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Finding the Third Proportional to 225,989.29 and 306,922.17

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Solution

The third proportional to 225,989.29 and 306,922.17 is: 416,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,989.29 : 306,922.17 = 306,922.17 : x
  2. Step 2: Convert to fraction form
    225,989.29/306,922.17 = 306,922.17/x
  3. Step 3: Cross multiply
    225,989.29x = 306,922.17 × 306,922.17
  4. Step 4: Simplify right side
    225,989.29x = 94,201,218,689.26
  5. Step 5: Solve for x
    x = 94,201,218,689.26/225,989.29
  6. Step 6: Final answer
    x = 416,839.31

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.