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Finding the Third Proportional to 218,275 and 328,224

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Solution

The third proportional to 218,275 and 328,224 is: 493,556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,275 : 328,224 = 328,224 : x
  2. Step 2: Convert to fraction form
    218,275/328,224 = 328,224/x
  3. Step 3: Cross multiply
    218,275x = 328,224 × 328,224
  4. Step 4: Simplify right side
    218,275x = 107,730,994,176
  5. Step 5: Solve for x
    x = 107,730,994,176/218,275
  6. Step 6: Final answer
    x = 493,556.27

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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.