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Finding the Third Proportional to 162,024 and 216,782

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Solution

The third proportional to 162,024 and 216,782 is: 290,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,024 : 216,782 = 216,782 : x
  2. Step 2: Convert to fraction form
    162,024/216,782 = 216,782/x
  3. Step 3: Cross multiply
    162,024x = 216,782 × 216,782
  4. Step 4: Simplify right side
    162,024x = 46,994,435,524
  5. Step 5: Solve for x
    x = 46,994,435,524/162,024
  6. Step 6: Final answer
    x = 290,046.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.