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Finding the Third Proportional to 171,914.25 and 365,971.50

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Solution

The third proportional to 171,914.25 and 365,971.50 is: 779,081.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,914.25 : 365,971.50 = 365,971.50 : x
  2. Step 2: Convert to fraction form
    171,914.25/365,971.50 = 365,971.50/x
  3. Step 3: Cross multiply
    171,914.25x = 365,971.50 × 365,971.50
  4. Step 4: Simplify right side
    171,914.25x = 133,935,138,812.25
  5. Step 5: Solve for x
    x = 133,935,138,812.25/171,914.25
  6. Step 6: Final answer
    x = 779,081.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.