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Finding the Third Proportional to 189,996 and 296,497

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Solution

The third proportional to 189,996 and 296,497 is: 462,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,996 : 296,497 = 296,497 : x
  2. Step 2: Convert to fraction form
    189,996/296,497 = 296,497/x
  3. Step 3: Cross multiply
    189,996x = 296,497 × 296,497
  4. Step 4: Simplify right side
    189,996x = 87,910,471,009
  5. Step 5: Solve for x
    x = 87,910,471,009/189,996
  6. Step 6: Final answer
    x = 462,696.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.