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Finding the Third Proportional to 144,830 and 226,388

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Solution

The third proportional to 144,830 and 226,388 is: 353,873.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,830 : 226,388 = 226,388 : x
  2. Step 2: Convert to fraction form
    144,830/226,388 = 226,388/x
  3. Step 3: Cross multiply
    144,830x = 226,388 × 226,388
  4. Step 4: Simplify right side
    144,830x = 51,251,526,544
  5. Step 5: Solve for x
    x = 51,251,526,544/144,830
  6. Step 6: Final answer
    x = 353,873.69

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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.