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Finding the Third Proportional to 106,846 and 228,514

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Solution

The third proportional to 106,846 and 228,514 is: 488,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,846 : 228,514 = 228,514 : x
  2. Step 2: Convert to fraction form
    106,846/228,514 = 228,514/x
  3. Step 3: Cross multiply
    106,846x = 228,514 × 228,514
  4. Step 4: Simplify right side
    106,846x = 52,218,648,196
  5. Step 5: Solve for x
    x = 52,218,648,196/106,846
  6. Step 6: Final answer
    x = 488,728.15

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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.