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Finding the Third Proportional to 106,045 and 228,341

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Solution

The third proportional to 106,045 and 228,341 is: 491,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,045 : 228,341 = 228,341 : x
  2. Step 2: Convert to fraction form
    106,045/228,341 = 228,341/x
  3. Step 3: Cross multiply
    106,045x = 228,341 × 228,341
  4. Step 4: Simplify right side
    106,045x = 52,139,612,281
  5. Step 5: Solve for x
    x = 52,139,612,281/106,045
  6. Step 6: Final answer
    x = 491,674.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.