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Finding the Third Proportional to 133,058 and 211,823

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Solution

The third proportional to 133,058 and 211,823 is: 337,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,058 : 211,823 = 211,823 : x
  2. Step 2: Convert to fraction form
    133,058/211,823 = 211,823/x
  3. Step 3: Cross multiply
    133,058x = 211,823 × 211,823
  4. Step 4: Simplify right side
    133,058x = 44,868,983,329
  5. Step 5: Solve for x
    x = 44,868,983,329/133,058
  6. Step 6: Final answer
    x = 337,213.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.