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Finding the Third Proportional to 70.96 and 152.79

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Solution

The third proportional to 70.96 and 152.79 is: 328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.96 : 152.79 = 152.79 : x
  2. Step 2: Convert to fraction form
    70.96/152.79 = 152.79/x
  3. Step 3: Cross multiply
    70.96x = 152.79 × 152.79
  4. Step 4: Simplify right side
    70.96x = 23,345.17
  5. Step 5: Solve for x
    x = 23,345.17/70.96
  6. Step 6: Final answer
    x = 328.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.