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Finding the Third Proportional to 189,997.50 and 296,497.50

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Solution

The third proportional to 189,997.50 and 296,497.50 is: 462,694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,997.50 : 296,497.50 = 296,497.50 : x
  2. Step 2: Convert to fraction form
    189,997.50/296,497.50 = 296,497.50/x
  3. Step 3: Cross multiply
    189,997.50x = 296,497.50 × 296,497.50
  4. Step 4: Simplify right side
    189,997.50x = 87,910,767,506.25
  5. Step 5: Solve for x
    x = 87,910,767,506.25/189,997.50
  6. Step 6: Final answer
    x = 462,694.34

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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.