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Finding the Third Proportional to 147.50 and 271.75

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Solution

The third proportional to 147.50 and 271.75 is: 500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.50 : 271.75 = 271.75 : x
  2. Step 2: Convert to fraction form
    147.50/271.75 = 271.75/x
  3. Step 3: Cross multiply
    147.50x = 271.75 × 271.75
  4. Step 4: Simplify right side
    147.50x = 73,848.06
  5. Step 5: Solve for x
    x = 73,848.06/147.50
  6. Step 6: Final answer
    x = 500.66

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.