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Finding the Third Proportional to 186,746 and 280,254

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Solution

The third proportional to 186,746 and 280,254 is: 420,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,746 : 280,254 = 280,254 : x
  2. Step 2: Convert to fraction form
    186,746/280,254 = 280,254/x
  3. Step 3: Cross multiply
    186,746x = 280,254 × 280,254
  4. Step 4: Simplify right side
    186,746x = 78,542,304,516
  5. Step 5: Solve for x
    x = 78,542,304,516/186,746
  6. Step 6: Final answer
    x = 420,583.60

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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.