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Finding the Third Proportional to 199,541 and 261,570

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Solution

The third proportional to 199,541 and 261,570 is: 342,881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,541 : 261,570 = 261,570 : x
  2. Step 2: Convert to fraction form
    199,541/261,570 = 261,570/x
  3. Step 3: Cross multiply
    199,541x = 261,570 × 261,570
  4. Step 4: Simplify right side
    199,541x = 68,418,864,900
  5. Step 5: Solve for x
    x = 68,418,864,900/199,541
  6. Step 6: Final answer
    x = 342,881.24

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.