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Finding the Third Proportional to 83.50 and 215.75

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Solution

The third proportional to 83.50 and 215.75 is: 557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.50 : 215.75 = 215.75 : x
  2. Step 2: Convert to fraction form
    83.50/215.75 = 215.75/x
  3. Step 3: Cross multiply
    83.50x = 215.75 × 215.75
  4. Step 4: Simplify right side
    83.50x = 46,548.06
  5. Step 5: Solve for x
    x = 46,548.06/83.50
  6. Step 6: Final answer
    x = 557.46

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Why These Related Problems?

These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.