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Finding the Third Proportional to 156,771 and 234,789

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Solution

The third proportional to 156,771 and 234,789 is: 351,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,771 : 234,789 = 234,789 : x
  2. Step 2: Convert to fraction form
    156,771/234,789 = 234,789/x
  3. Step 3: Cross multiply
    156,771x = 234,789 × 234,789
  4. Step 4: Simplify right side
    156,771x = 55,125,874,521
  5. Step 5: Solve for x
    x = 55,125,874,521/156,771
  6. Step 6: Final answer
    x = 351,633.11

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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.