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Finding the Third Proportional to 162,569 and 215,766

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Solution

The third proportional to 162,569 and 215,766 is: 286,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,569 : 215,766 = 215,766 : x
  2. Step 2: Convert to fraction form
    162,569/215,766 = 215,766/x
  3. Step 3: Cross multiply
    162,569x = 215,766 × 215,766
  4. Step 4: Simplify right side
    162,569x = 46,554,966,756
  5. Step 5: Solve for x
    x = 46,554,966,756/162,569
  6. Step 6: Final answer
    x = 286,370.51

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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.