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Finding the Third Proportional to 144,717 and 226,341

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Solution

The third proportional to 144,717 and 226,341 is: 354,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,717 : 226,341 = 226,341 : x
  2. Step 2: Convert to fraction form
    144,717/226,341 = 226,341/x
  3. Step 3: Cross multiply
    144,717x = 226,341 × 226,341
  4. Step 4: Simplify right side
    144,717x = 51,230,248,281
  5. Step 5: Solve for x
    x = 51,230,248,281/144,717
  6. Step 6: Final answer
    x = 354,002.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.