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Finding the Third Proportional to 150,929 and 226,772

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Solution

The third proportional to 150,929 and 226,772 is: 340,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,929 : 226,772 = 226,772 : x
  2. Step 2: Convert to fraction form
    150,929/226,772 = 226,772/x
  3. Step 3: Cross multiply
    150,929x = 226,772 × 226,772
  4. Step 4: Simplify right side
    150,929x = 51,425,539,984
  5. Step 5: Solve for x
    x = 51,425,539,984/150,929
  6. Step 6: Final answer
    x = 340,726.70

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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.