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Finding the Third Proportional to 156,761 and 234,774

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Solution

The third proportional to 156,761 and 234,774 is: 351,610.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,761 : 234,774 = 234,774 : x
  2. Step 2: Convert to fraction form
    156,761/234,774 = 234,774/x
  3. Step 3: Cross multiply
    156,761x = 234,774 × 234,774
  4. Step 4: Simplify right side
    156,761x = 55,118,831,076
  5. Step 5: Solve for x
    x = 55,118,831,076/156,761
  6. Step 6: Final answer
    x = 351,610.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.