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Finding the Third Proportional to 182,682 and 286,644

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Solution

The third proportional to 182,682 and 286,644 is: 449,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,682 : 286,644 = 286,644 : x
  2. Step 2: Convert to fraction form
    182,682/286,644 = 286,644/x
  3. Step 3: Cross multiply
    182,682x = 286,644 × 286,644
  4. Step 4: Simplify right side
    182,682x = 82,164,782,736
  5. Step 5: Solve for x
    x = 82,164,782,736/182,682
  6. Step 6: Final answer
    x = 449,769.45

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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.