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Finding the Third Proportional to 240,205.50 and 347,915.25

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Solution

The third proportional to 240,205.50 and 347,915.25 is: 503,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,205.50 : 347,915.25 = 347,915.25 : x
  2. Step 2: Convert to fraction form
    240,205.50/347,915.25 = 347,915.25/x
  3. Step 3: Cross multiply
    240,205.50x = 347,915.25 × 347,915.25
  4. Step 4: Simplify right side
    240,205.50x = 121,045,021,182.56
  5. Step 5: Solve for x
    x = 121,045,021,182.56/240,205.50
  6. Step 6: Final answer
    x = 503,922.77

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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.