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Finding the Third Proportional to 186,843 and 268,600.50

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Solution

The third proportional to 186,843 and 268,600.50 is: 386,132.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,843 : 268,600.50 = 268,600.50 : x
  2. Step 2: Convert to fraction form
    186,843/268,600.50 = 268,600.50/x
  3. Step 3: Cross multiply
    186,843x = 268,600.50 × 268,600.50
  4. Step 4: Simplify right side
    186,843x = 72,146,228,600.25
  5. Step 5: Solve for x
    x = 72,146,228,600.25/186,843
  6. Step 6: Final answer
    x = 386,132.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.