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Finding the Third Proportional to 218,156 and 320,050

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Solution

The third proportional to 218,156 and 320,050 is: 469,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,156 : 320,050 = 320,050 : x
  2. Step 2: Convert to fraction form
    218,156/320,050 = 320,050/x
  3. Step 3: Cross multiply
    218,156x = 320,050 × 320,050
  4. Step 4: Simplify right side
    218,156x = 102,432,002,500
  5. Step 5: Solve for x
    x = 102,432,002,500/218,156
  6. Step 6: Final answer
    x = 469,535.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.