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Finding the Third Proportional to 239,571 and 359,361

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Solution

The third proportional to 239,571 and 359,361 is: 539,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,571 : 359,361 = 359,361 : x
  2. Step 2: Convert to fraction form
    239,571/359,361 = 359,361/x
  3. Step 3: Cross multiply
    239,571x = 359,361 × 359,361
  4. Step 4: Simplify right side
    239,571x = 129,140,328,321
  5. Step 5: Solve for x
    x = 129,140,328,321/239,571
  6. Step 6: Final answer
    x = 539,048.25

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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.