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Finding the Third Proportional to 170,462 and 372,028

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Solution

The third proportional to 170,462 and 372,028 is: 811,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,462 : 372,028 = 372,028 : x
  2. Step 2: Convert to fraction form
    170,462/372,028 = 372,028/x
  3. Step 3: Cross multiply
    170,462x = 372,028 × 372,028
  4. Step 4: Simplify right side
    170,462x = 138,404,832,784
  5. Step 5: Solve for x
    x = 138,404,832,784/170,462
  6. Step 6: Final answer
    x = 811,939.51

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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.