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Finding the Third Proportional to 161,234 and 374,774

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Solution

The third proportional to 161,234 and 374,774 is: 871,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,234 : 374,774 = 374,774 : x
  2. Step 2: Convert to fraction form
    161,234/374,774 = 374,774/x
  3. Step 3: Cross multiply
    161,234x = 374,774 × 374,774
  4. Step 4: Simplify right side
    161,234x = 140,455,551,076
  5. Step 5: Solve for x
    x = 140,455,551,076/161,234
  6. Step 6: Final answer
    x = 871,128.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.