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Finding the Third Proportional to 171,386 and 372,004

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Solution

The third proportional to 171,386 and 372,004 is: 807,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,386 : 372,004 = 372,004 : x
  2. Step 2: Convert to fraction form
    171,386/372,004 = 372,004/x
  3. Step 3: Cross multiply
    171,386x = 372,004 × 372,004
  4. Step 4: Simplify right side
    171,386x = 138,386,976,016
  5. Step 5: Solve for x
    x = 138,386,976,016/171,386
  6. Step 6: Final answer
    x = 807,457.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.