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Finding the Third Proportional to 85,298 and 198,293

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Solution

The third proportional to 85,298 and 198,293 is: 460,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,298 : 198,293 = 198,293 : x
  2. Step 2: Convert to fraction form
    85,298/198,293 = 198,293/x
  3. Step 3: Cross multiply
    85,298x = 198,293 × 198,293
  4. Step 4: Simplify right side
    85,298x = 39,320,113,849
  5. Step 5: Solve for x
    x = 39,320,113,849/85,298
  6. Step 6: Final answer
    x = 460,973.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.