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Finding the Third Proportional to 106,618 and 226,359

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Solution

The third proportional to 106,618 and 226,359 is: 480,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,618 : 226,359 = 226,359 : x
  2. Step 2: Convert to fraction form
    106,618/226,359 = 226,359/x
  3. Step 3: Cross multiply
    106,618x = 226,359 × 226,359
  4. Step 4: Simplify right side
    106,618x = 51,238,396,881
  5. Step 5: Solve for x
    x = 51,238,396,881/106,618
  6. Step 6: Final answer
    x = 480,579.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.