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Finding the Third Proportional to 146.75 and 215.88

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Solution

The third proportional to 146.75 and 215.88 is: 317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.75 : 215.88 = 215.88 : x
  2. Step 2: Convert to fraction form
    146.75/215.88 = 215.88/x
  3. Step 3: Cross multiply
    146.75x = 215.88 × 215.88
  4. Step 4: Simplify right side
    146.75x = 46,602.02
  5. Step 5: Solve for x
    x = 46,602.02/146.75
  6. Step 6: Final answer
    x = 317.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.