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Finding the Third Proportional to 122,174 and 265,227

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Solution

The third proportional to 122,174 and 265,227 is: 575,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,174 : 265,227 = 265,227 : x
  2. Step 2: Convert to fraction form
    122,174/265,227 = 265,227/x
  3. Step 3: Cross multiply
    122,174x = 265,227 × 265,227
  4. Step 4: Simplify right side
    122,174x = 70,345,361,529
  5. Step 5: Solve for x
    x = 70,345,361,529/122,174
  6. Step 6: Final answer
    x = 575,780.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.