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Finding the Third Proportional to 122,315 and 181,204

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Solution

The third proportional to 122,315 and 181,204 is: 268,445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,315 : 181,204 = 181,204 : x
  2. Step 2: Convert to fraction form
    122,315/181,204 = 181,204/x
  3. Step 3: Cross multiply
    122,315x = 181,204 × 181,204
  4. Step 4: Simplify right side
    122,315x = 32,834,889,616
  5. Step 5: Solve for x
    x = 32,834,889,616/122,315
  6. Step 6: Final answer
    x = 268,445.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.