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Finding the Third Proportional to 223,686.84 and 338,786.44

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Solution

The third proportional to 223,686.84 and 338,786.44 is: 513,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,686.84 : 338,786.44 = 338,786.44 : x
  2. Step 2: Convert to fraction form
    223,686.84/338,786.44 = 338,786.44/x
  3. Step 3: Cross multiply
    223,686.84x = 338,786.44 × 338,786.44
  4. Step 4: Simplify right side
    223,686.84x = 114,776,250,233.94
  5. Step 5: Solve for x
    x = 114,776,250,233.94/223,686.84
  6. Step 6: Final answer
    x = 513,111.31

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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.