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Finding the Third Proportional to 162,541 and 215,675

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Solution

The third proportional to 162,541 and 215,675 is: 286,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,541 : 215,675 = 215,675 : x
  2. Step 2: Convert to fraction form
    162,541/215,675 = 215,675/x
  3. Step 3: Cross multiply
    162,541x = 215,675 × 215,675
  4. Step 4: Simplify right side
    162,541x = 46,515,705,625
  5. Step 5: Solve for x
    x = 46,515,705,625/162,541
  6. Step 6: Final answer
    x = 286,178.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.