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Finding the Third Proportional to 70.59 and 162.70

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Solution

The third proportional to 70.59 and 162.70 is: 375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.59 : 162.70 = 162.70 : x
  2. Step 2: Convert to fraction form
    70.59/162.70 = 162.70/x
  3. Step 3: Cross multiply
    70.59x = 162.70 × 162.70
  4. Step 4: Simplify right side
    70.59x = 26,472.31
  5. Step 5: Solve for x
    x = 26,472.31/70.59
  6. Step 6: Final answer
    x = 375.00

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.