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Finding the Third Proportional to 182,102 and 285,034

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Solution

The third proportional to 182,102 and 285,034 is: 446,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,102 : 285,034 = 285,034 : x
  2. Step 2: Convert to fraction form
    182,102/285,034 = 285,034/x
  3. Step 3: Cross multiply
    182,102x = 285,034 × 285,034
  4. Step 4: Simplify right side
    182,102x = 81,244,381,156
  5. Step 5: Solve for x
    x = 81,244,381,156/182,102
  6. Step 6: Final answer
    x = 446,147.66

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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.