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Finding the Third Proportional to 239,570 and 359,325

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Solution

The third proportional to 239,570 and 359,325 is: 538,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,570 : 359,325 = 359,325 : x
  2. Step 2: Convert to fraction form
    239,570/359,325 = 359,325/x
  3. Step 3: Cross multiply
    239,570x = 359,325 × 359,325
  4. Step 4: Simplify right side
    239,570x = 129,114,455,625
  5. Step 5: Solve for x
    x = 129,114,455,625/239,570
  6. Step 6: Final answer
    x = 538,942.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.