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Finding the Third Proportional to 230,186 and 503,068

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Solution

The third proportional to 230,186 and 503,068 is: 1,099,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,186 : 503,068 = 503,068 : x
  2. Step 2: Convert to fraction form
    230,186/503,068 = 503,068/x
  3. Step 3: Cross multiply
    230,186x = 503,068 × 503,068
  4. Step 4: Simplify right side
    230,186x = 253,077,412,624
  5. Step 5: Solve for x
    x = 253,077,412,624/230,186
  6. Step 6: Final answer
    x = 1,099,447.46

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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.