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Finding the Third Proportional to 134,535 and 285,471

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Solution

The third proportional to 134,535 and 285,471 is: 605,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,535 : 285,471 = 285,471 : x
  2. Step 2: Convert to fraction form
    134,535/285,471 = 285,471/x
  3. Step 3: Cross multiply
    134,535x = 285,471 × 285,471
  4. Step 4: Simplify right side
    134,535x = 81,493,691,841
  5. Step 5: Solve for x
    x = 81,493,691,841/134,535
  6. Step 6: Final answer
    x = 605,743.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.