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Finding the Third Proportional to 150,325 and 349,567

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Solution

The third proportional to 150,325 and 349,567 is: 812,886.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,325 : 349,567 = 349,567 : x
  2. Step 2: Convert to fraction form
    150,325/349,567 = 349,567/x
  3. Step 3: Cross multiply
    150,325x = 349,567 × 349,567
  4. Step 4: Simplify right side
    150,325x = 122,197,087,489
  5. Step 5: Solve for x
    x = 122,197,087,489/150,325
  6. Step 6: Final answer
    x = 812,886.00

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.