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Finding the Third Proportional to 239,796 and 360,312

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Solution

The third proportional to 239,796 and 360,312 is: 541,396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,796 : 360,312 = 360,312 : x
  2. Step 2: Convert to fraction form
    239,796/360,312 = 360,312/x
  3. Step 3: Cross multiply
    239,796x = 360,312 × 360,312
  4. Step 4: Simplify right side
    239,796x = 129,824,737,344
  5. Step 5: Solve for x
    x = 129,824,737,344/239,796
  6. Step 6: Final answer
    x = 541,396.59

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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.