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Finding the Third Proportional to 84,494 and 185,512

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Solution

The third proportional to 84,494 and 185,512 is: 407,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,494 : 185,512 = 185,512 : x
  2. Step 2: Convert to fraction form
    84,494/185,512 = 185,512/x
  3. Step 3: Cross multiply
    84,494x = 185,512 × 185,512
  4. Step 4: Simplify right side
    84,494x = 34,414,702,144
  5. Step 5: Solve for x
    x = 34,414,702,144/84,494
  6. Step 6: Final answer
    x = 407,303.50

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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.