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Finding the Third Proportional to 162,541 and 215,672

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Solution

The third proportional to 162,541 and 215,672 is: 286,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,541 : 215,672 = 215,672 : x
  2. Step 2: Convert to fraction form
    162,541/215,672 = 215,672/x
  3. Step 3: Cross multiply
    162,541x = 215,672 × 215,672
  4. Step 4: Simplify right side
    162,541x = 46,514,411,584
  5. Step 5: Solve for x
    x = 46,514,411,584/162,541
  6. Step 6: Final answer
    x = 286,170.33

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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.