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Finding the Third Proportional to 79,422 and 170,361

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Solution

The third proportional to 79,422 and 170,361 is: 365,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,422 : 170,361 = 170,361 : x
  2. Step 2: Convert to fraction form
    79,422/170,361 = 170,361/x
  3. Step 3: Cross multiply
    79,422x = 170,361 × 170,361
  4. Step 4: Simplify right side
    79,422x = 29,022,870,321
  5. Step 5: Solve for x
    x = 29,022,870,321/79,422
  6. Step 6: Final answer
    x = 365,426.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.