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Finding the Third Proportional to 119,532 and 260,092

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Solution

The third proportional to 119,532 and 260,092 is: 565,939.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,532 : 260,092 = 260,092 : x
  2. Step 2: Convert to fraction form
    119,532/260,092 = 260,092/x
  3. Step 3: Cross multiply
    119,532x = 260,092 × 260,092
  4. Step 4: Simplify right side
    119,532x = 67,647,848,464
  5. Step 5: Solve for x
    x = 67,647,848,464/119,532
  6. Step 6: Final answer
    x = 565,939.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.