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Finding the Third Proportional to 189,994 and 296,493

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Solution

The third proportional to 189,994 and 296,493 is: 462,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,994 : 296,493 = 296,493 : x
  2. Step 2: Convert to fraction form
    189,994/296,493 = 296,493/x
  3. Step 3: Cross multiply
    189,994x = 296,493 × 296,493
  4. Step 4: Simplify right side
    189,994x = 87,908,099,049
  5. Step 5: Solve for x
    x = 87,908,099,049/189,994
  6. Step 6: Final answer
    x = 462,688.82

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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.