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Finding the Third Proportional to 161,374 and 248,864

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Solution

The third proportional to 161,374 and 248,864 is: 383,787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,374 : 248,864 = 248,864 : x
  2. Step 2: Convert to fraction form
    161,374/248,864 = 248,864/x
  3. Step 3: Cross multiply
    161,374x = 248,864 × 248,864
  4. Step 4: Simplify right side
    161,374x = 61,933,290,496
  5. Step 5: Solve for x
    x = 61,933,290,496/161,374
  6. Step 6: Final answer
    x = 383,787.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.