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Finding the Third Proportional to 151.52 and 313.52

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Solution

The third proportional to 151.52 and 313.52 is: 648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.52 : 313.52 = 313.52 : x
  2. Step 2: Convert to fraction form
    151.52/313.52 = 313.52/x
  3. Step 3: Cross multiply
    151.52x = 313.52 × 313.52
  4. Step 4: Simplify right side
    151.52x = 98,296.95
  5. Step 5: Solve for x
    x = 98,296.95/151.52
  6. Step 6: Final answer
    x = 648.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.