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Finding the Third Proportional to 190,948.50 and 397,584

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Solution

The third proportional to 190,948.50 and 397,584 is: 827,830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,948.50 : 397,584 = 397,584 : x
  2. Step 2: Convert to fraction form
    190,948.50/397,584 = 397,584/x
  3. Step 3: Cross multiply
    190,948.50x = 397,584 × 397,584
  4. Step 4: Simplify right side
    190,948.50x = 158,073,037,056
  5. Step 5: Solve for x
    x = 158,073,037,056/190,948.50
  6. Step 6: Final answer
    x = 827,830.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.