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Finding the Third Proportional to 171,388 and 372,008

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Solution

The third proportional to 171,388 and 372,008 is: 807,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,388 : 372,008 = 372,008 : x
  2. Step 2: Convert to fraction form
    171,388/372,008 = 372,008/x
  3. Step 3: Cross multiply
    171,388x = 372,008 × 372,008
  4. Step 4: Simplify right side
    171,388x = 138,389,952,064
  5. Step 5: Solve for x
    x = 138,389,952,064/171,388
  6. Step 6: Final answer
    x = 807,465.82

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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.