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Finding the Third Proportional to 250,604 and 362,079

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Solution

The third proportional to 250,604 and 362,079 is: 523,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,604 : 362,079 = 362,079 : x
  2. Step 2: Convert to fraction form
    250,604/362,079 = 362,079/x
  3. Step 3: Cross multiply
    250,604x = 362,079 × 362,079
  4. Step 4: Simplify right side
    250,604x = 131,101,202,241
  5. Step 5: Solve for x
    x = 131,101,202,241/250,604
  6. Step 6: Final answer
    x = 523,140.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.