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Finding the Third Proportional to 186,766.50 and 280,341

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Solution

The third proportional to 186,766.50 and 280,341 is: 420,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,766.50 : 280,341 = 280,341 : x
  2. Step 2: Convert to fraction form
    186,766.50/280,341 = 280,341/x
  3. Step 3: Cross multiply
    186,766.50x = 280,341 × 280,341
  4. Step 4: Simplify right side
    186,766.50x = 78,591,076,281
  5. Step 5: Solve for x
    x = 78,591,076,281/186,766.50
  6. Step 6: Final answer
    x = 420,798.57

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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.