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Finding the Third Proportional to 174,161 and 260,566

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Solution

The third proportional to 174,161 and 260,566 is: 389,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,161 : 260,566 = 260,566 : x
  2. Step 2: Convert to fraction form
    174,161/260,566 = 260,566/x
  3. Step 3: Cross multiply
    174,161x = 260,566 × 260,566
  4. Step 4: Simplify right side
    174,161x = 67,894,640,356
  5. Step 5: Solve for x
    x = 67,894,640,356/174,161
  6. Step 6: Final answer
    x = 389,838.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.