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Finding the Third Proportional to 185,060.50 and 401,833

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Solution

The third proportional to 185,060.50 and 401,833 is: 872,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,060.50 : 401,833 = 401,833 : x
  2. Step 2: Convert to fraction form
    185,060.50/401,833 = 401,833/x
  3. Step 3: Cross multiply
    185,060.50x = 401,833 × 401,833
  4. Step 4: Simplify right side
    185,060.50x = 161,469,759,889
  5. Step 5: Solve for x
    x = 161,469,759,889/185,060.50
  6. Step 6: Final answer
    x = 872,524.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.