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Finding the Third Proportional to 349.88 and 558.13

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Solution

The third proportional to 349.88 and 558.13 is: 890.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.88 : 558.13 = 558.13 : x
  2. Step 2: Convert to fraction form
    349.88/558.13 = 558.13/x
  3. Step 3: Cross multiply
    349.88x = 558.13 × 558.13
  4. Step 4: Simplify right side
    349.88x = 311,503.52
  5. Step 5: Solve for x
    x = 311,503.52/349.88
  6. Step 6: Final answer
    x = 890.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.