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Finding the Third Proportional to 340.14 and 552.92

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Solution

The third proportional to 340.14 and 552.92 is: 898.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.14 : 552.92 = 552.92 : x
  2. Step 2: Convert to fraction form
    340.14/552.92 = 552.92/x
  3. Step 3: Cross multiply
    340.14x = 552.92 × 552.92
  4. Step 4: Simplify right side
    340.14x = 305,720.44
  5. Step 5: Solve for x
    x = 305,720.44/340.14
  6. Step 6: Final answer
    x = 898.82

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.