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Finding the Third Proportional to 106,018 and 226,368

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Solution

The third proportional to 106,018 and 226,368 is: 483,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,018 : 226,368 = 226,368 : x
  2. Step 2: Convert to fraction form
    106,018/226,368 = 226,368/x
  3. Step 3: Cross multiply
    106,018x = 226,368 × 226,368
  4. Step 4: Simplify right side
    106,018x = 51,242,471,424
  5. Step 5: Solve for x
    x = 51,242,471,424/106,018
  6. Step 6: Final answer
    x = 483,337.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.