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Finding the Third Proportional to 104,295 and 228,191

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Solution

The third proportional to 104,295 and 228,191 is: 499,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,295 : 228,191 = 228,191 : x
  2. Step 2: Convert to fraction form
    104,295/228,191 = 228,191/x
  3. Step 3: Cross multiply
    104,295x = 228,191 × 228,191
  4. Step 4: Simplify right side
    104,295x = 52,071,132,481
  5. Step 5: Solve for x
    x = 52,071,132,481/104,295
  6. Step 6: Final answer
    x = 499,267.77

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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.