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Finding the Third Proportional to 223,150 and 485,672

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Solution

The third proportional to 223,150 and 485,672 is: 1,057,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,150 : 485,672 = 485,672 : x
  2. Step 2: Convert to fraction form
    223,150/485,672 = 485,672/x
  3. Step 3: Cross multiply
    223,150x = 485,672 × 485,672
  4. Step 4: Simplify right side
    223,150x = 235,877,291,584
  5. Step 5: Solve for x
    x = 235,877,291,584/223,150
  6. Step 6: Final answer
    x = 1,057,034.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.