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Finding the Third Proportional to 106,901 and 230,372

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Solution

The third proportional to 106,901 and 230,372 is: 496,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,901 : 230,372 = 230,372 : x
  2. Step 2: Convert to fraction form
    106,901/230,372 = 230,372/x
  3. Step 3: Cross multiply
    106,901x = 230,372 × 230,372
  4. Step 4: Simplify right side
    106,901x = 53,071,258,384
  5. Step 5: Solve for x
    x = 53,071,258,384/106,901
  6. Step 6: Final answer
    x = 496,452.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.