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Finding the Third Proportional to 204,781.50 and 305,590.50

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Solution

The third proportional to 204,781.50 and 305,590.50 is: 456,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,781.50 : 305,590.50 = 305,590.50 : x
  2. Step 2: Convert to fraction form
    204,781.50/305,590.50 = 305,590.50/x
  3. Step 3: Cross multiply
    204,781.50x = 305,590.50 × 305,590.50
  4. Step 4: Simplify right side
    204,781.50x = 93,385,553,690.25
  5. Step 5: Solve for x
    x = 93,385,553,690.25/204,781.50
  6. Step 6: Final answer
    x = 456,025.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.