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Finding the Third Proportional to 76,040 and 182,957

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Solution

The third proportional to 76,040 and 182,957 is: 440,205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,040 : 182,957 = 182,957 : x
  2. Step 2: Convert to fraction form
    76,040/182,957 = 182,957/x
  3. Step 3: Cross multiply
    76,040x = 182,957 × 182,957
  4. Step 4: Simplify right side
    76,040x = 33,473,263,849
  5. Step 5: Solve for x
    x = 33,473,263,849/76,040
  6. Step 6: Final answer
    x = 440,205.99

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.