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Finding the Third Proportional to 162,571 and 215,769

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Solution

The third proportional to 162,571 and 215,769 is: 286,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,571 : 215,769 = 215,769 : x
  2. Step 2: Convert to fraction form
    162,571/215,769 = 215,769/x
  3. Step 3: Cross multiply
    162,571x = 215,769 × 215,769
  4. Step 4: Simplify right side
    162,571x = 46,556,261,361
  5. Step 5: Solve for x
    x = 46,556,261,361/162,571
  6. Step 6: Final answer
    x = 286,374.95

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