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Finding the Third Proportional to 170,150 and 253,566

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Solution

The third proportional to 170,150 and 253,566 is: 377,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,150 : 253,566 = 253,566 : x
  2. Step 2: Convert to fraction form
    170,150/253,566 = 253,566/x
  3. Step 3: Cross multiply
    170,150x = 253,566 × 253,566
  4. Step 4: Simplify right side
    170,150x = 64,295,716,356
  5. Step 5: Solve for x
    x = 64,295,716,356/170,150
  6. Step 6: Final answer
    x = 377,876.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.