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Finding the Third Proportional to 269,127 and 365,661

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Solution

The third proportional to 269,127 and 365,661 is: 496,821.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,127 : 365,661 = 365,661 : x
  2. Step 2: Convert to fraction form
    269,127/365,661 = 365,661/x
  3. Step 3: Cross multiply
    269,127x = 365,661 × 365,661
  4. Step 4: Simplify right side
    269,127x = 133,707,966,921
  5. Step 5: Solve for x
    x = 133,707,966,921/269,127
  6. Step 6: Final answer
    x = 496,821.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.