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Finding the Third Proportional to 223,678.69 and 338,775.75

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Solution

The third proportional to 223,678.69 and 338,775.75 is: 513,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,678.69 : 338,775.75 = 338,775.75 : x
  2. Step 2: Convert to fraction form
    223,678.69/338,775.75 = 338,775.75/x
  3. Step 3: Cross multiply
    223,678.69x = 338,775.75 × 338,775.75
  4. Step 4: Simplify right side
    223,678.69x = 114,769,008,788.06
  5. Step 5: Solve for x
    x = 114,769,008,788.06/223,678.69
  6. Step 6: Final answer
    x = 513,097.65

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