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Finding the Third Proportional to 140,302 and 203,082

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Solution

The third proportional to 140,302 and 203,082 is: 293,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,302 : 203,082 = 203,082 : x
  2. Step 2: Convert to fraction form
    140,302/203,082 = 203,082/x
  3. Step 3: Cross multiply
    140,302x = 203,082 × 203,082
  4. Step 4: Simplify right side
    140,302x = 41,242,298,724
  5. Step 5: Solve for x
    x = 41,242,298,724/140,302
  6. Step 6: Final answer
    x = 293,953.75

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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.