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Finding the Third Proportional to 84,818 and 185,026

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Solution

The third proportional to 84,818 and 185,026 is: 403,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,818 : 185,026 = 185,026 : x
  2. Step 2: Convert to fraction form
    84,818/185,026 = 185,026/x
  3. Step 3: Cross multiply
    84,818x = 185,026 × 185,026
  4. Step 4: Simplify right side
    84,818x = 34,234,620,676
  5. Step 5: Solve for x
    x = 34,234,620,676/84,818
  6. Step 6: Final answer
    x = 403,624.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.