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Finding the Third Proportional to 150,430.50 and 330,381

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Solution

The third proportional to 150,430.50 and 330,381 is: 725,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,430.50 : 330,381 = 330,381 : x
  2. Step 2: Convert to fraction form
    150,430.50/330,381 = 330,381/x
  3. Step 3: Cross multiply
    150,430.50x = 330,381 × 330,381
  4. Step 4: Simplify right side
    150,430.50x = 109,151,605,161
  5. Step 5: Solve for x
    x = 109,151,605,161/150,430.50
  6. Step 6: Final answer
    x = 725,594.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.