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Finding the Third Proportional to 223,500 and 485,097

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Solution

The third proportional to 223,500 and 485,097 is: 1,052,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,500 : 485,097 = 485,097 : x
  2. Step 2: Convert to fraction form
    223,500/485,097 = 485,097/x
  3. Step 3: Cross multiply
    223,500x = 485,097 × 485,097
  4. Step 4: Simplify right side
    223,500x = 235,319,099,409
  5. Step 5: Solve for x
    x = 235,319,099,409/223,500
  6. Step 6: Final answer
    x = 1,052,881.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.