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Finding the Third Proportional to 250.86 and 482.73

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Solution

The third proportional to 250.86 and 482.73 is: 928.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.86 : 482.73 = 482.73 : x
  2. Step 2: Convert to fraction form
    250.86/482.73 = 482.73/x
  3. Step 3: Cross multiply
    250.86x = 482.73 × 482.73
  4. Step 4: Simplify right side
    250.86x = 233,028.71
  5. Step 5: Solve for x
    x = 233,028.71/250.86
  6. Step 6: Final answer
    x = 928.93

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.