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Finding the Third Proportional to 167,866 and 260,309

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Solution

The third proportional to 167,866 and 260,309 is: 403,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,866 : 260,309 = 260,309 : x
  2. Step 2: Convert to fraction form
    167,866/260,309 = 260,309/x
  3. Step 3: Cross multiply
    167,866x = 260,309 × 260,309
  4. Step 4: Simplify right side
    167,866x = 67,760,775,481
  5. Step 5: Solve for x
    x = 67,760,775,481/167,866
  6. Step 6: Final answer
    x = 403,659.92

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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.