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Finding the Third Proportional to 150,290 and 355,419

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Solution

The third proportional to 150,290 and 355,419 is: 840,526.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,290 : 355,419 = 355,419 : x
  2. Step 2: Convert to fraction form
    150,290/355,419 = 355,419/x
  3. Step 3: Cross multiply
    150,290x = 355,419 × 355,419
  4. Step 4: Simplify right side
    150,290x = 126,322,665,561
  5. Step 5: Solve for x
    x = 126,322,665,561/150,290
  6. Step 6: Final answer
    x = 840,526.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.