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Finding the Third Proportional to 106,292 and 225,544

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Solution

The third proportional to 106,292 and 225,544 is: 478,588.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,292 : 225,544 = 225,544 : x
  2. Step 2: Convert to fraction form
    106,292/225,544 = 225,544/x
  3. Step 3: Cross multiply
    106,292x = 225,544 × 225,544
  4. Step 4: Simplify right side
    106,292x = 50,870,095,936
  5. Step 5: Solve for x
    x = 50,870,095,936/106,292
  6. Step 6: Final answer
    x = 478,588.19

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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.