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Finding the Third Proportional to 104,377 and 228,446

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Solution

The third proportional to 104,377 and 228,446 is: 499,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,377 : 228,446 = 228,446 : x
  2. Step 2: Convert to fraction form
    104,377/228,446 = 228,446/x
  3. Step 3: Cross multiply
    104,377x = 228,446 × 228,446
  4. Step 4: Simplify right side
    104,377x = 52,187,574,916
  5. Step 5: Solve for x
    x = 52,187,574,916/104,377
  6. Step 6: Final answer
    x = 499,991.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.