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Finding the Third Proportional to 162,568 and 215,765

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Solution

The third proportional to 162,568 and 215,765 is: 286,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,568 : 215,765 = 215,765 : x
  2. Step 2: Convert to fraction form
    162,568/215,765 = 215,765/x
  3. Step 3: Cross multiply
    162,568x = 215,765 × 215,765
  4. Step 4: Simplify right side
    162,568x = 46,554,535,225
  5. Step 5: Solve for x
    x = 46,554,535,225/162,568
  6. Step 6: Final answer
    x = 286,369.61

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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.