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Finding the Third Proportional to 84,670 and 186,052

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Solution

The third proportional to 84,670 and 186,052 is: 408,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,670 : 186,052 = 186,052 : x
  2. Step 2: Convert to fraction form
    84,670/186,052 = 186,052/x
  3. Step 3: Cross multiply
    84,670x = 186,052 × 186,052
  4. Step 4: Simplify right side
    84,670x = 34,615,346,704
  5. Step 5: Solve for x
    x = 34,615,346,704/84,670
  6. Step 6: Final answer
    x = 408,826.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.