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Finding the Third Proportional to 121,227 and 265,026

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Solution

The third proportional to 121,227 and 265,026 is: 579,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,227 : 265,026 = 265,026 : x
  2. Step 2: Convert to fraction form
    121,227/265,026 = 265,026/x
  3. Step 3: Cross multiply
    121,227x = 265,026 × 265,026
  4. Step 4: Simplify right side
    121,227x = 70,238,780,676
  5. Step 5: Solve for x
    x = 70,238,780,676/121,227
  6. Step 6: Final answer
    x = 579,398.82

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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.