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Finding the Third Proportional to 162.18 and 349.59

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Solution

The third proportional to 162.18 and 349.59 is: 753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.18 : 349.59 = 349.59 : x
  2. Step 2: Convert to fraction form
    162.18/349.59 = 349.59/x
  3. Step 3: Cross multiply
    162.18x = 349.59 × 349.59
  4. Step 4: Simplify right side
    162.18x = 122,216.17
  5. Step 5: Solve for x
    x = 122,216.17/162.18
  6. Step 6: Final answer
    x = 753.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.