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Finding the Third Proportional to 225,996 and 306,931

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Solution

The third proportional to 225,996 and 306,931 is: 416,850.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,996 : 306,931 = 306,931 : x
  2. Step 2: Convert to fraction form
    225,996/306,931 = 306,931/x
  3. Step 3: Cross multiply
    225,996x = 306,931 × 306,931
  4. Step 4: Simplify right side
    225,996x = 94,206,638,761
  5. Step 5: Solve for x
    x = 94,206,638,761/225,996
  6. Step 6: Final answer
    x = 416,850.91

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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.