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Finding the Third Proportional to 84,734 and 181,700

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Solution

The third proportional to 84,734 and 181,700 is: 389,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,734 : 181,700 = 181,700 : x
  2. Step 2: Convert to fraction form
    84,734/181,700 = 181,700/x
  3. Step 3: Cross multiply
    84,734x = 181,700 × 181,700
  4. Step 4: Simplify right side
    84,734x = 33,014,890,000
  5. Step 5: Solve for x
    x = 33,014,890,000/84,734
  6. Step 6: Final answer
    x = 389,629.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.