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Finding the Third Proportional to 218,801.25 and 328,424.63

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Solution

The third proportional to 218,801.25 and 328,424.63 is: 492,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,801.25 : 328,424.63 = 328,424.63 : x
  2. Step 2: Convert to fraction form
    218,801.25/328,424.63 = 328,424.63/x
  3. Step 3: Cross multiply
    218,801.25x = 328,424.63 × 328,424.63
  4. Step 4: Simplify right side
    218,801.25x = 107,862,734,306.39
  5. Step 5: Solve for x
    x = 107,862,734,306.39/218,801.25
  6. Step 6: Final answer
    x = 492,971.29

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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.