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Finding the Third Proportional to 122,501 and 269,832

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Solution

The third proportional to 122,501 and 269,832 is: 594,356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,501 : 269,832 = 269,832 : x
  2. Step 2: Convert to fraction form
    122,501/269,832 = 269,832/x
  3. Step 3: Cross multiply
    122,501x = 269,832 × 269,832
  4. Step 4: Simplify right side
    122,501x = 72,809,308,224
  5. Step 5: Solve for x
    x = 72,809,308,224/122,501
  6. Step 6: Final answer
    x = 594,356.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.