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Finding the Third Proportional to 186,846 and 268,604.50

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Solution

The third proportional to 186,846 and 268,604.50 is: 386,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,846 : 268,604.50 = 268,604.50 : x
  2. Step 2: Convert to fraction form
    186,846/268,604.50 = 268,604.50/x
  3. Step 3: Cross multiply
    186,846x = 268,604.50 × 268,604.50
  4. Step 4: Simplify right side
    186,846x = 72,148,377,420.25
  5. Step 5: Solve for x
    x = 72,148,377,420.25/186,846
  6. Step 6: Final answer
    x = 386,138.20

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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.