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Finding the Third Proportional to 250.88 and 596.13

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Solution

The third proportional to 250.88 and 596.13 is: 1,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.88 : 596.13 = 596.13 : x
  2. Step 2: Convert to fraction form
    250.88/596.13 = 596.13/x
  3. Step 3: Cross multiply
    250.88x = 596.13 × 596.13
  4. Step 4: Simplify right side
    250.88x = 355,365.02
  5. Step 5: Solve for x
    x = 355,365.02/250.88
  6. Step 6: Final answer
    x = 1,416.50

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.