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Finding the Third Proportional to 216,052.88 and 327,064.50

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Solution

The third proportional to 216,052.88 and 327,064.50 is: 495,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,052.88 : 327,064.50 = 327,064.50 : x
  2. Step 2: Convert to fraction form
    216,052.88/327,064.50 = 327,064.50/x
  3. Step 3: Cross multiply
    216,052.88x = 327,064.50 × 327,064.50
  4. Step 4: Simplify right side
    216,052.88x = 106,971,187,160.25
  5. Step 5: Solve for x
    x = 106,971,187,160.25/216,052.88
  6. Step 6: Final answer
    x = 495,115.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.