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Finding the Third Proportional to 139.61 and 328.61

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Solution

The third proportional to 139.61 and 328.61 is: 773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.61 : 328.61 = 328.61 : x
  2. Step 2: Convert to fraction form
    139.61/328.61 = 328.61/x
  3. Step 3: Cross multiply
    139.61x = 328.61 × 328.61
  4. Step 4: Simplify right side
    139.61x = 107,981.55
  5. Step 5: Solve for x
    x = 107,981.55/139.61
  6. Step 6: Final answer
    x = 773.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.