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Finding the Third Proportional to 174,331 and 377,997

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Solution

The third proportional to 174,331 and 377,997 is: 819,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,331 : 377,997 = 377,997 : x
  2. Step 2: Convert to fraction form
    174,331/377,997 = 377,997/x
  3. Step 3: Cross multiply
    174,331x = 377,997 × 377,997
  4. Step 4: Simplify right side
    174,331x = 142,881,732,009
  5. Step 5: Solve for x
    x = 142,881,732,009/174,331
  6. Step 6: Final answer
    x = 819,600.25

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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.