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Finding the Third Proportional to 122,337 and 179,469

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Solution

The third proportional to 122,337 and 179,469 is: 263,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,337 : 179,469 = 179,469 : x
  2. Step 2: Convert to fraction form
    122,337/179,469 = 179,469/x
  3. Step 3: Cross multiply
    122,337x = 179,469 × 179,469
  4. Step 4: Simplify right side
    122,337x = 32,209,121,961
  5. Step 5: Solve for x
    x = 32,209,121,961/122,337
  6. Step 6: Final answer
    x = 263,281.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.