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Finding the Third Proportional to 206,887.50 and 443,298

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Solution

The third proportional to 206,887.50 and 443,298 is: 949,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,887.50 : 443,298 = 443,298 : x
  2. Step 2: Convert to fraction form
    206,887.50/443,298 = 443,298/x
  3. Step 3: Cross multiply
    206,887.50x = 443,298 × 443,298
  4. Step 4: Simplify right side
    206,887.50x = 196,513,116,804
  5. Step 5: Solve for x
    x = 196,513,116,804/206,887.50
  6. Step 6: Final answer
    x = 949,854.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.