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Finding the Third Proportional to 192,674 and 302,643

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Solution

The third proportional to 192,674 and 302,643 is: 475,376.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,674 : 302,643 = 302,643 : x
  2. Step 2: Convert to fraction form
    192,674/302,643 = 302,643/x
  3. Step 3: Cross multiply
    192,674x = 302,643 × 302,643
  4. Step 4: Simplify right side
    192,674x = 91,592,785,449
  5. Step 5: Solve for x
    x = 91,592,785,449/192,674
  6. Step 6: Final answer
    x = 475,376.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.