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Finding the Third Proportional to 268,771.50 and 388,521

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Solution

The third proportional to 268,771.50 and 388,521 is: 561,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,771.50 : 388,521 = 388,521 : x
  2. Step 2: Convert to fraction form
    268,771.50/388,521 = 388,521/x
  3. Step 3: Cross multiply
    268,771.50x = 388,521 × 388,521
  4. Step 4: Simplify right side
    268,771.50x = 150,948,567,441
  5. Step 5: Solve for x
    x = 150,948,567,441/268,771.50
  6. Step 6: Final answer
    x = 561,624.16

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.