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Finding the Third Proportional to 234,722 and 353,206

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Solution

The third proportional to 234,722 and 353,206 is: 531,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,722 : 353,206 = 353,206 : x
  2. Step 2: Convert to fraction form
    234,722/353,206 = 353,206/x
  3. Step 3: Cross multiply
    234,722x = 353,206 × 353,206
  4. Step 4: Simplify right side
    234,722x = 124,754,478,436
  5. Step 5: Solve for x
    x = 124,754,478,436/234,722
  6. Step 6: Final answer
    x = 531,498.87

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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.