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Finding the Third Proportional to 171,574 and 376,357

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Solution

The third proportional to 171,574 and 376,357 is: 825,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,574 : 376,357 = 376,357 : x
  2. Step 2: Convert to fraction form
    171,574/376,357 = 376,357/x
  3. Step 3: Cross multiply
    171,574x = 376,357 × 376,357
  4. Step 4: Simplify right side
    171,574x = 141,644,591,449
  5. Step 5: Solve for x
    x = 141,644,591,449/171,574
  6. Step 6: Final answer
    x = 825,559.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.