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Finding the Third Proportional to 202,214 and 313,979

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Solution

The third proportional to 202,214 and 313,979 is: 487,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,214 : 313,979 = 313,979 : x
  2. Step 2: Convert to fraction form
    202,214/313,979 = 313,979/x
  3. Step 3: Cross multiply
    202,214x = 313,979 × 313,979
  4. Step 4: Simplify right side
    202,214x = 98,582,812,441
  5. Step 5: Solve for x
    x = 98,582,812,441/202,214
  6. Step 6: Final answer
    x = 487,517.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.