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Finding the Third Proportional to 232.77 and 370.51

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Solution

The third proportional to 232.77 and 370.51 is: 589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.77 : 370.51 = 370.51 : x
  2. Step 2: Convert to fraction form
    232.77/370.51 = 370.51/x
  3. Step 3: Cross multiply
    232.77x = 370.51 × 370.51
  4. Step 4: Simplify right side
    232.77x = 137,278.93
  5. Step 5: Solve for x
    x = 137,278.93/232.77
  6. Step 6: Final answer
    x = 589.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.