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Finding the Third Proportional to 106,367 and 224,352

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Solution

The third proportional to 106,367 and 224,352 is: 473,208.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,367 : 224,352 = 224,352 : x
  2. Step 2: Convert to fraction form
    106,367/224,352 = 224,352/x
  3. Step 3: Cross multiply
    106,367x = 224,352 × 224,352
  4. Step 4: Simplify right side
    106,367x = 50,333,819,904
  5. Step 5: Solve for x
    x = 50,333,819,904/106,367
  6. Step 6: Final answer
    x = 473,208.98

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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.