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Finding the Third Proportional to 186,939 and 280,354.50

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Solution

The third proportional to 186,939 and 280,354.50 is: 420,450.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,939 : 280,354.50 = 280,354.50 : x
  2. Step 2: Convert to fraction form
    186,939/280,354.50 = 280,354.50/x
  3. Step 3: Cross multiply
    186,939x = 280,354.50 × 280,354.50
  4. Step 4: Simplify right side
    186,939x = 78,598,645,670.25
  5. Step 5: Solve for x
    x = 78,598,645,670.25/186,939
  6. Step 6: Final answer
    x = 420,450.77

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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.