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Finding the Third Proportional to 381.59 and 595.16

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Solution

The third proportional to 381.59 and 595.16 is: 928.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.59 : 595.16 = 595.16 : x
  2. Step 2: Convert to fraction form
    381.59/595.16 = 595.16/x
  3. Step 3: Cross multiply
    381.59x = 595.16 × 595.16
  4. Step 4: Simplify right side
    381.59x = 354,215.61
  5. Step 5: Solve for x
    x = 354,215.61/381.59
  6. Step 6: Final answer
    x = 928.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.