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Finding the Third Proportional to 230,195 and 503,086

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Solution

The third proportional to 230,195 and 503,086 is: 1,099,483.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,195 : 503,086 = 503,086 : x
  2. Step 2: Convert to fraction form
    230,195/503,086 = 503,086/x
  3. Step 3: Cross multiply
    230,195x = 503,086 × 503,086
  4. Step 4: Simplify right side
    230,195x = 253,095,523,396
  5. Step 5: Solve for x
    x = 253,095,523,396/230,195
  6. Step 6: Final answer
    x = 1,099,483.15

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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.