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Finding the Third Proportional to 223,749 and 338,873.25

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Solution

The third proportional to 223,749 and 338,873.25 is: 513,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,749 : 338,873.25 = 338,873.25 : x
  2. Step 2: Convert to fraction form
    223,749/338,873.25 = 338,873.25/x
  3. Step 3: Cross multiply
    223,749x = 338,873.25 × 338,873.25
  4. Step 4: Simplify right side
    223,749x = 114,835,079,565.56
  5. Step 5: Solve for x
    x = 114,835,079,565.56/223,749
  6. Step 6: Final answer
    x = 513,231.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.