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Finding the Third Proportional to 162,529 and 215,713

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Solution

The third proportional to 162,529 and 215,713 is: 286,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,529 : 215,713 = 215,713 : x
  2. Step 2: Convert to fraction form
    162,529/215,713 = 215,713/x
  3. Step 3: Cross multiply
    162,529x = 215,713 × 215,713
  4. Step 4: Simplify right side
    162,529x = 46,532,098,369
  5. Step 5: Solve for x
    x = 46,532,098,369/162,529
  6. Step 6: Final answer
    x = 286,300.28

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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.