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Finding the Third Proportional to 174,099 and 381,000

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Solution

The third proportional to 174,099 and 381,000 is: 833,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,099 : 381,000 = 381,000 : x
  2. Step 2: Convert to fraction form
    174,099/381,000 = 381,000/x
  3. Step 3: Cross multiply
    174,099x = 381,000 × 381,000
  4. Step 4: Simplify right side
    174,099x = 145,161,000,000
  5. Step 5: Solve for x
    x = 145,161,000,000/174,099
  6. Step 6: Final answer
    x = 833,784.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.