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Finding the Third Proportional to 150,852 and 330,507

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Solution

The third proportional to 150,852 and 330,507 is: 724,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,852 : 330,507 = 330,507 : x
  2. Step 2: Convert to fraction form
    150,852/330,507 = 330,507/x
  3. Step 3: Cross multiply
    150,852x = 330,507 × 330,507
  4. Step 4: Simplify right side
    150,852x = 109,234,877,049
  5. Step 5: Solve for x
    x = 109,234,877,049/150,852
  6. Step 6: Final answer
    x = 724,119.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.