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Finding the Third Proportional to 180,864 and 378,252

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Solution

The third proportional to 180,864 and 378,252 is: 791,061.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,864 : 378,252 = 378,252 : x
  2. Step 2: Convert to fraction form
    180,864/378,252 = 378,252/x
  3. Step 3: Cross multiply
    180,864x = 378,252 × 378,252
  4. Step 4: Simplify right side
    180,864x = 143,074,575,504
  5. Step 5: Solve for x
    x = 143,074,575,504/180,864
  6. Step 6: Final answer
    x = 791,061.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.