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Finding the Third Proportional to 85,713 and 191,298

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Solution

The third proportional to 85,713 and 191,298 is: 426,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,713 : 191,298 = 191,298 : x
  2. Step 2: Convert to fraction form
    85,713/191,298 = 191,298/x
  3. Step 3: Cross multiply
    85,713x = 191,298 × 191,298
  4. Step 4: Simplify right side
    85,713x = 36,594,924,804
  5. Step 5: Solve for x
    x = 36,594,924,804/85,713
  6. Step 6: Final answer
    x = 426,947.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.