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Finding the Third Proportional to 106,533 and 231,660

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Solution

The third proportional to 106,533 and 231,660 is: 503,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,533 : 231,660 = 231,660 : x
  2. Step 2: Convert to fraction form
    106,533/231,660 = 231,660/x
  3. Step 3: Cross multiply
    106,533x = 231,660 × 231,660
  4. Step 4: Simplify right side
    106,533x = 53,666,355,600
  5. Step 5: Solve for x
    x = 53,666,355,600/106,533
  6. Step 6: Final answer
    x = 503,753.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.