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Finding the Third Proportional to 152,385.75 and 350,466.75

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Solution

The third proportional to 152,385.75 and 350,466.75 is: 806,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,385.75 : 350,466.75 = 350,466.75 : x
  2. Step 2: Convert to fraction form
    152,385.75/350,466.75 = 350,466.75/x
  3. Step 3: Cross multiply
    152,385.75x = 350,466.75 × 350,466.75
  4. Step 4: Simplify right side
    152,385.75x = 122,826,942,855.56
  5. Step 5: Solve for x
    x = 122,826,942,855.56/152,385.75
  6. Step 6: Final answer
    x = 806,026.44

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.