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Finding the Third Proportional to 144,341 and 226,424

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Solution

The third proportional to 144,341 and 226,424 is: 355,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,341 : 226,424 = 226,424 : x
  2. Step 2: Convert to fraction form
    144,341/226,424 = 226,424/x
  3. Step 3: Cross multiply
    144,341x = 226,424 × 226,424
  4. Step 4: Simplify right side
    144,341x = 51,267,827,776
  5. Step 5: Solve for x
    x = 51,267,827,776/144,341
  6. Step 6: Final answer
    x = 355,185.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.