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Finding the Third Proportional to 156,946 and 234,802

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Solution

The third proportional to 156,946 and 234,802 is: 351,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,946 : 234,802 = 234,802 : x
  2. Step 2: Convert to fraction form
    156,946/234,802 = 234,802/x
  3. Step 3: Cross multiply
    156,946x = 234,802 × 234,802
  4. Step 4: Simplify right side
    156,946x = 55,131,979,204
  5. Step 5: Solve for x
    x = 55,131,979,204/156,946
  6. Step 6: Final answer
    x = 351,279.93

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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.