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Finding the Third Proportional to 209,911.50 and 244,032.75

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Solution

The third proportional to 209,911.50 and 244,032.75 is: 283,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,911.50 : 244,032.75 = 244,032.75 : x
  2. Step 2: Convert to fraction form
    209,911.50/244,032.75 = 244,032.75/x
  3. Step 3: Cross multiply
    209,911.50x = 244,032.75 × 244,032.75
  4. Step 4: Simplify right side
    209,911.50x = 59,551,983,072.56
  5. Step 5: Solve for x
    x = 59,551,983,072.56/209,911.50
  6. Step 6: Final answer
    x = 283,700.43

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.