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Finding the Third Proportional to 177,912 and 425,259

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Solution

The third proportional to 177,912 and 425,259 is: 1,016,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,912 : 425,259 = 425,259 : x
  2. Step 2: Convert to fraction form
    177,912/425,259 = 425,259/x
  3. Step 3: Cross multiply
    177,912x = 425,259 × 425,259
  4. Step 4: Simplify right side
    177,912x = 180,845,217,081
  5. Step 5: Solve for x
    x = 180,845,217,081/177,912
  6. Step 6: Final answer
    x = 1,016,486.90

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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.