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Finding the Third Proportional to 106,365 and 224,349

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Solution

The third proportional to 106,365 and 224,349 is: 473,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,365 : 224,349 = 224,349 : x
  2. Step 2: Convert to fraction form
    106,365/224,349 = 224,349/x
  3. Step 3: Cross multiply
    106,365x = 224,349 × 224,349
  4. Step 4: Simplify right side
    106,365x = 50,332,473,801
  5. Step 5: Solve for x
    x = 50,332,473,801/106,365
  6. Step 6: Final answer
    x = 473,205.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.