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Finding the Third Proportional to 88,859 and 197,401

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Solution

The third proportional to 88,859 and 197,401 is: 438,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,859 : 197,401 = 197,401 : x
  2. Step 2: Convert to fraction form
    88,859/197,401 = 197,401/x
  3. Step 3: Cross multiply
    88,859x = 197,401 × 197,401
  4. Step 4: Simplify right side
    88,859x = 38,967,154,801
  5. Step 5: Solve for x
    x = 38,967,154,801/88,859
  6. Step 6: Final answer
    x = 438,527.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.