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Finding the Third Proportional to 156,682 and 234,331

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Solution

The third proportional to 156,682 and 234,331 is: 350,461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,682 : 234,331 = 234,331 : x
  2. Step 2: Convert to fraction form
    156,682/234,331 = 234,331/x
  3. Step 3: Cross multiply
    156,682x = 234,331 × 234,331
  4. Step 4: Simplify right side
    156,682x = 54,911,017,561
  5. Step 5: Solve for x
    x = 54,911,017,561/156,682
  6. Step 6: Final answer
    x = 350,461.56

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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.