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Finding the Third Proportional to 186,726 and 280,227

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Solution

The third proportional to 186,726 and 280,227 is: 420,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,726 : 280,227 = 280,227 : x
  2. Step 2: Convert to fraction form
    186,726/280,227 = 280,227/x
  3. Step 3: Cross multiply
    186,726x = 280,227 × 280,227
  4. Step 4: Simplify right side
    186,726x = 78,527,171,529
  5. Step 5: Solve for x
    x = 78,527,171,529/186,726
  6. Step 6: Final answer
    x = 420,547.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.