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Finding the Third Proportional to 175,566 and 389,092

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Solution

The third proportional to 175,566 and 389,092 is: 862,311.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,566 : 389,092 = 389,092 : x
  2. Step 2: Convert to fraction form
    175,566/389,092 = 389,092/x
  3. Step 3: Cross multiply
    175,566x = 389,092 × 389,092
  4. Step 4: Simplify right side
    175,566x = 151,392,584,464
  5. Step 5: Solve for x
    x = 151,392,584,464/175,566
  6. Step 6: Final answer
    x = 862,311.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.