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Finding the Third Proportional to 133,058 and 272,330

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Solution

The third proportional to 133,058 and 272,330 is: 557,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,058 : 272,330 = 272,330 : x
  2. Step 2: Convert to fraction form
    133,058/272,330 = 272,330/x
  3. Step 3: Cross multiply
    133,058x = 272,330 × 272,330
  4. Step 4: Simplify right side
    133,058x = 74,163,628,900
  5. Step 5: Solve for x
    x = 74,163,628,900/133,058
  6. Step 6: Final answer
    x = 557,378.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.