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Finding the Third Proportional to 140,298 and 203,076

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Solution

The third proportional to 140,298 and 203,076 is: 293,944.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,298 : 203,076 = 203,076 : x
  2. Step 2: Convert to fraction form
    140,298/203,076 = 203,076/x
  3. Step 3: Cross multiply
    140,298x = 203,076 × 203,076
  4. Step 4: Simplify right side
    140,298x = 41,239,861,776
  5. Step 5: Solve for x
    x = 41,239,861,776/140,298
  6. Step 6: Final answer
    x = 293,944.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.