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Finding the Third Proportional to 193,646 and 299,116

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Solution

The third proportional to 193,646 and 299,116 is: 462,030.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,646 : 299,116 = 299,116 : x
  2. Step 2: Convert to fraction form
    193,646/299,116 = 299,116/x
  3. Step 3: Cross multiply
    193,646x = 299,116 × 299,116
  4. Step 4: Simplify right side
    193,646x = 89,470,381,456
  5. Step 5: Solve for x
    x = 89,470,381,456/193,646
  6. Step 6: Final answer
    x = 462,030.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.