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Finding the Third Proportional to 198,390.94 and 283,586.06

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Solution

The third proportional to 198,390.94 and 283,586.06 is: 405,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,390.94 : 283,586.06 = 283,586.06 : x
  2. Step 2: Convert to fraction form
    198,390.94/283,586.06 = 283,586.06/x
  3. Step 3: Cross multiply
    198,390.94x = 283,586.06 × 283,586.06
  4. Step 4: Simplify right side
    198,390.94x = 80,421,054,844.25
  5. Step 5: Solve for x
    x = 80,421,054,844.25/198,390.94
  6. Step 6: Final answer
    x = 405,366.57

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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.