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Finding the Third Proportional to 147.75 and 214.88

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Solution

The third proportional to 147.75 and 214.88 is: 312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.75 : 214.88 = 214.88 : x
  2. Step 2: Convert to fraction form
    147.75/214.88 = 214.88/x
  3. Step 3: Cross multiply
    147.75x = 214.88 × 214.88
  4. Step 4: Simplify right side
    147.75x = 46,171.27
  5. Step 5: Solve for x
    x = 46,171.27/147.75
  6. Step 6: Final answer
    x = 312.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.