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Finding the Third Proportional to 162.18 and 347.79

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Solution

The third proportional to 162.18 and 347.79 is: 745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.18 : 347.79 = 347.79 : x
  2. Step 2: Convert to fraction form
    162.18/347.79 = 347.79/x
  3. Step 3: Cross multiply
    162.18x = 347.79 × 347.79
  4. Step 4: Simplify right side
    162.18x = 120,959.46
  5. Step 5: Solve for x
    x = 120,959.46/162.18
  6. Step 6: Final answer
    x = 745.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.