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Finding the Third Proportional to 240,211.50 and 347,906.25

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Solution

The third proportional to 240,211.50 and 347,906.25 is: 503,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,211.50 : 347,906.25 = 347,906.25 : x
  2. Step 2: Convert to fraction form
    240,211.50/347,906.25 = 347,906.25/x
  3. Step 3: Cross multiply
    240,211.50x = 347,906.25 × 347,906.25
  4. Step 4: Simplify right side
    240,211.50x = 121,038,758,789.06
  5. Step 5: Solve for x
    x = 121,038,758,789.06/240,211.50
  6. Step 6: Final answer
    x = 503,884.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.