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Finding the Third Proportional to 218,311.50 and 328,278

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Solution

The third proportional to 218,311.50 and 328,278 is: 493,636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,311.50 : 328,278 = 328,278 : x
  2. Step 2: Convert to fraction form
    218,311.50/328,278 = 328,278/x
  3. Step 3: Cross multiply
    218,311.50x = 328,278 × 328,278
  4. Step 4: Simplify right side
    218,311.50x = 107,766,445,284
  5. Step 5: Solve for x
    x = 107,766,445,284/218,311.50
  6. Step 6: Final answer
    x = 493,636.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.