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Finding the Third Proportional to 230,193 and 503,082

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Solution

The third proportional to 230,193 and 503,082 is: 1,099,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,193 : 503,082 = 503,082 : x
  2. Step 2: Convert to fraction form
    230,193/503,082 = 503,082/x
  3. Step 3: Cross multiply
    230,193x = 503,082 × 503,082
  4. Step 4: Simplify right side
    230,193x = 253,091,498,724
  5. Step 5: Solve for x
    x = 253,091,498,724/230,193
  6. Step 6: Final answer
    x = 1,099,475.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.