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Finding the Third Proportional to 171,663.84 and 372,881.36

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Solution

The third proportional to 171,663.84 and 372,881.36 is: 809,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,663.84 : 372,881.36 = 372,881.36 : x
  2. Step 2: Convert to fraction form
    171,663.84/372,881.36 = 372,881.36/x
  3. Step 3: Cross multiply
    171,663.84x = 372,881.36 × 372,881.36
  4. Step 4: Simplify right side
    171,663.84x = 139,040,511,810.77
  5. Step 5: Solve for x
    x = 139,040,511,810.77/171,663.84
  6. Step 6: Final answer
    x = 809,958.08

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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.