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Finding the Third Proportional to 814.75 and 1,167.50

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Solution

The third proportional to 814.75 and 1,167.50 is: 1,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.75 : 1,167.50 = 1,167.50 : x
  2. Step 2: Convert to fraction form
    814.75/1,167.50 = 1,167.50/x
  3. Step 3: Cross multiply
    814.75x = 1,167.50 × 1,167.50
  4. Step 4: Simplify right side
    814.75x = 1,363,056.25
  5. Step 5: Solve for x
    x = 1,363,056.25/814.75
  6. Step 6: Final answer
    x = 1,672.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.