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Finding the Third Proportional to 239,817 and 369,049.50

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Solution

The third proportional to 239,817 and 369,049.50 is: 567,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,817 : 369,049.50 = 369,049.50 : x
  2. Step 2: Convert to fraction form
    239,817/369,049.50 = 369,049.50/x
  3. Step 3: Cross multiply
    239,817x = 369,049.50 × 369,049.50
  4. Step 4: Simplify right side
    239,817x = 136,197,533,450.25
  5. Step 5: Solve for x
    x = 136,197,533,450.25/239,817
  6. Step 6: Final answer
    x = 567,922.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.