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Finding the Third Proportional to 186,924 and 397,216.50

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Solution

The third proportional to 186,924 and 397,216.50 is: 844,091.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,924 : 397,216.50 = 397,216.50 : x
  2. Step 2: Convert to fraction form
    186,924/397,216.50 = 397,216.50/x
  3. Step 3: Cross multiply
    186,924x = 397,216.50 × 397,216.50
  4. Step 4: Simplify right side
    186,924x = 157,780,947,872.25
  5. Step 5: Solve for x
    x = 157,780,947,872.25/186,924
  6. Step 6: Final answer
    x = 844,091.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.