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Finding the Third Proportional to 167,866 and 362,541

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Solution

The third proportional to 167,866 and 362,541 is: 782,981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,866 : 362,541 = 362,541 : x
  2. Step 2: Convert to fraction form
    167,866/362,541 = 362,541/x
  3. Step 3: Cross multiply
    167,866x = 362,541 × 362,541
  4. Step 4: Simplify right side
    167,866x = 131,435,976,681
  5. Step 5: Solve for x
    x = 131,435,976,681/167,866
  6. Step 6: Final answer
    x = 782,981.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.