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Finding the Third Proportional to 144,714 and 226,331

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Solution

The third proportional to 144,714 and 226,331 is: 353,979.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,714 : 226,331 = 226,331 : x
  2. Step 2: Convert to fraction form
    144,714/226,331 = 226,331/x
  3. Step 3: Cross multiply
    144,714x = 226,331 × 226,331
  4. Step 4: Simplify right side
    144,714x = 51,225,721,561
  5. Step 5: Solve for x
    x = 51,225,721,561/144,714
  6. Step 6: Final answer
    x = 353,979.03

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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.