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Finding the Third Proportional to 170,454 and 372,012

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Solution

The third proportional to 170,454 and 372,012 is: 811,907.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,454 : 372,012 = 372,012 : x
  2. Step 2: Convert to fraction form
    170,454/372,012 = 372,012/x
  3. Step 3: Cross multiply
    170,454x = 372,012 × 372,012
  4. Step 4: Simplify right side
    170,454x = 138,392,928,144
  5. Step 5: Solve for x
    x = 138,392,928,144/170,454
  6. Step 6: Final answer
    x = 811,907.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.