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Finding the Third Proportional to 203,950.50 and 292,182

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Solution

The third proportional to 203,950.50 and 292,182 is: 418,583.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,950.50 : 292,182 = 292,182 : x
  2. Step 2: Convert to fraction form
    203,950.50/292,182 = 292,182/x
  3. Step 3: Cross multiply
    203,950.50x = 292,182 × 292,182
  4. Step 4: Simplify right side
    203,950.50x = 85,370,321,124
  5. Step 5: Solve for x
    x = 85,370,321,124/203,950.50
  6. Step 6: Final answer
    x = 418,583.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.