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Finding the Third Proportional to 180,496 and 269,704

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Solution

The third proportional to 180,496 and 269,704 is: 403,001.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,496 : 269,704 = 269,704 : x
  2. Step 2: Convert to fraction form
    180,496/269,704 = 269,704/x
  3. Step 3: Cross multiply
    180,496x = 269,704 × 269,704
  4. Step 4: Simplify right side
    180,496x = 72,740,247,616
  5. Step 5: Solve for x
    x = 72,740,247,616/180,496
  6. Step 6: Final answer
    x = 403,001.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.