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Finding the Third Proportional to 204,793.50 and 307,190

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Solution

The third proportional to 204,793.50 and 307,190 is: 460,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,793.50 : 307,190 = 307,190 : x
  2. Step 2: Convert to fraction form
    204,793.50/307,190 = 307,190/x
  3. Step 3: Cross multiply
    204,793.50x = 307,190 × 307,190
  4. Step 4: Simplify right side
    204,793.50x = 94,365,696,100
  5. Step 5: Solve for x
    x = 94,365,696,100/204,793.50
  6. Step 6: Final answer
    x = 460,784.63

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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.