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Finding the Third Proportional to 269,102 and 365,637

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Solution

The third proportional to 269,102 and 365,637 is: 496,802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,102 : 365,637 = 365,637 : x
  2. Step 2: Convert to fraction form
    269,102/365,637 = 365,637/x
  3. Step 3: Cross multiply
    269,102x = 365,637 × 365,637
  4. Step 4: Simplify right side
    269,102x = 133,690,415,769
  5. Step 5: Solve for x
    x = 133,690,415,769/269,102
  6. Step 6: Final answer
    x = 496,802.01

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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.