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Finding the Third Proportional to 342 and 529.88

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Solution

The third proportional to 342 and 529.88 is: 820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342 : 529.88 = 529.88 : x
  2. Step 2: Convert to fraction form
    342/529.88 = 529.88/x
  3. Step 3: Cross multiply
    342x = 529.88 × 529.88
  4. Step 4: Simplify right side
    342x = 280,767.52
  5. Step 5: Solve for x
    x = 280,767.52/342
  6. Step 6: Final answer
    x = 820.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.