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Finding the Third Proportional to 161,122 and 248,974

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Solution

The third proportional to 161,122 and 248,974 is: 384,727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,122 : 248,974 = 248,974 : x
  2. Step 2: Convert to fraction form
    161,122/248,974 = 248,974/x
  3. Step 3: Cross multiply
    161,122x = 248,974 × 248,974
  4. Step 4: Simplify right side
    161,122x = 61,988,052,676
  5. Step 5: Solve for x
    x = 61,988,052,676/161,122
  6. Step 6: Final answer
    x = 384,727.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.