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Finding the Third Proportional to 106,215 and 229,857

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Solution

The third proportional to 106,215 and 229,857 is: 497,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,215 : 229,857 = 229,857 : x
  2. Step 2: Convert to fraction form
    106,215/229,857 = 229,857/x
  3. Step 3: Cross multiply
    106,215x = 229,857 × 229,857
  4. Step 4: Simplify right side
    106,215x = 52,834,240,449
  5. Step 5: Solve for x
    x = 52,834,240,449/106,215
  6. Step 6: Final answer
    x = 497,427.30

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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.