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Finding the Third Proportional to 223,698.38 and 338,802.75

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Solution

The third proportional to 223,698.38 and 338,802.75 is: 513,134.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,698.38 : 338,802.75 = 338,802.75 : x
  2. Step 2: Convert to fraction form
    223,698.38/338,802.75 = 338,802.75/x
  3. Step 3: Cross multiply
    223,698.38x = 338,802.75 × 338,802.75
  4. Step 4: Simplify right side
    223,698.38x = 114,787,303,407.56
  5. Step 5: Solve for x
    x = 114,787,303,407.56/223,698.38
  6. Step 6: Final answer
    x = 513,134.27

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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.