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Finding the Third Proportional to 175.31 and 284.91

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Solution

The third proportional to 175.31 and 284.91 is: 463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.31 : 284.91 = 284.91 : x
  2. Step 2: Convert to fraction form
    175.31/284.91 = 284.91/x
  3. Step 3: Cross multiply
    175.31x = 284.91 × 284.91
  4. Step 4: Simplify right side
    175.31x = 81,171.57
  5. Step 5: Solve for x
    x = 81,171.57/175.31
  6. Step 6: Final answer
    x = 463.01

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.