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Finding the Third Proportional to 158,058 and 242,366

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Solution

The third proportional to 158,058 and 242,366 is: 371,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,058 : 242,366 = 242,366 : x
  2. Step 2: Convert to fraction form
    158,058/242,366 = 242,366/x
  3. Step 3: Cross multiply
    158,058x = 242,366 × 242,366
  4. Step 4: Simplify right side
    158,058x = 58,741,277,956
  5. Step 5: Solve for x
    x = 58,741,277,956/158,058
  6. Step 6: Final answer
    x = 371,643.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.