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Finding the Third Proportional to 137,331 and 196,011

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Solution

The third proportional to 137,331 and 196,011 is: 279,764.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,331 : 196,011 = 196,011 : x
  2. Step 2: Convert to fraction form
    137,331/196,011 = 196,011/x
  3. Step 3: Cross multiply
    137,331x = 196,011 × 196,011
  4. Step 4: Simplify right side
    137,331x = 38,420,312,121
  5. Step 5: Solve for x
    x = 38,420,312,121/137,331
  6. Step 6: Final answer
    x = 279,764.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.