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Finding the Third Proportional to 250.28 and 384.91

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Solution

The third proportional to 250.28 and 384.91 is: 591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.28 : 384.91 = 384.91 : x
  2. Step 2: Convert to fraction form
    250.28/384.91 = 384.91/x
  3. Step 3: Cross multiply
    250.28x = 384.91 × 384.91
  4. Step 4: Simplify right side
    250.28x = 148,154.32
  5. Step 5: Solve for x
    x = 148,154.32/250.28
  6. Step 6: Final answer
    x = 591.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.