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Finding the Third Proportional to 162,234 and 349,430

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Solution

The third proportional to 162,234 and 349,430 is: 752,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,234 : 349,430 = 349,430 : x
  2. Step 2: Convert to fraction form
    162,234/349,430 = 349,430/x
  3. Step 3: Cross multiply
    162,234x = 349,430 × 349,430
  4. Step 4: Simplify right side
    162,234x = 122,101,324,900
  5. Step 5: Solve for x
    x = 122,101,324,900/162,234
  6. Step 6: Final answer
    x = 752,624.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.