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Finding the Third Proportional to 84,040 and 180,823

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Solution

The third proportional to 84,040 and 180,823 is: 389,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,040 : 180,823 = 180,823 : x
  2. Step 2: Convert to fraction form
    84,040/180,823 = 180,823/x
  3. Step 3: Cross multiply
    84,040x = 180,823 × 180,823
  4. Step 4: Simplify right side
    84,040x = 32,696,957,329
  5. Step 5: Solve for x
    x = 32,696,957,329/84,040
  6. Step 6: Final answer
    x = 389,064.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.