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Finding the Third Proportional to 203,764.50 and 442,521

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Solution

The third proportional to 203,764.50 and 442,521 is: 961,035.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,764.50 : 442,521 = 442,521 : x
  2. Step 2: Convert to fraction form
    203,764.50/442,521 = 442,521/x
  3. Step 3: Cross multiply
    203,764.50x = 442,521 × 442,521
  4. Step 4: Simplify right side
    203,764.50x = 195,824,835,441
  5. Step 5: Solve for x
    x = 195,824,835,441/203,764.50
  6. Step 6: Final answer
    x = 961,035.09

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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.