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Finding the Third Proportional to 177,896 and 425,219

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Solution

The third proportional to 177,896 and 425,219 is: 1,016,387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,896 : 425,219 = 425,219 : x
  2. Step 2: Convert to fraction form
    177,896/425,219 = 425,219/x
  3. Step 3: Cross multiply
    177,896x = 425,219 × 425,219
  4. Step 4: Simplify right side
    177,896x = 180,811,197,961
  5. Step 5: Solve for x
    x = 180,811,197,961/177,896
  6. Step 6: Final answer
    x = 1,016,387.09

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.