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Finding the Third Proportional to 250.17 and 392.48

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Solution

The third proportional to 250.17 and 392.48 is: 615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.17 : 392.48 = 392.48 : x
  2. Step 2: Convert to fraction form
    250.17/392.48 = 392.48/x
  3. Step 3: Cross multiply
    250.17x = 392.48 × 392.48
  4. Step 4: Simplify right side
    250.17x = 154,043.98
  5. Step 5: Solve for x
    x = 154,043.98/250.17
  6. Step 6: Final answer
    x = 615.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.