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Finding the Third Proportional to 218,124 and 325,882

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Solution

The third proportional to 218,124 and 325,882 is: 486,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,124 : 325,882 = 325,882 : x
  2. Step 2: Convert to fraction form
    218,124/325,882 = 325,882/x
  3. Step 3: Cross multiply
    218,124x = 325,882 × 325,882
  4. Step 4: Simplify right side
    218,124x = 106,199,077,924
  5. Step 5: Solve for x
    x = 106,199,077,924/218,124
  6. Step 6: Final answer
    x = 486,874.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.