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Finding the Third Proportional to 249,198 and 531,016.50

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Solution

The third proportional to 249,198 and 531,016.50 is: 1,131,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,198 : 531,016.50 = 531,016.50 : x
  2. Step 2: Convert to fraction form
    249,198/531,016.50 = 531,016.50/x
  3. Step 3: Cross multiply
    249,198x = 531,016.50 × 531,016.50
  4. Step 4: Simplify right side
    249,198x = 281,978,523,272.25
  5. Step 5: Solve for x
    x = 281,978,523,272.25/249,198
  6. Step 6: Final answer
    x = 1,131,544.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.