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Finding the Third Proportional to 171,844.50 and 406,309.50

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Solution

The third proportional to 171,844.50 and 406,309.50 is: 960,679.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,844.50 : 406,309.50 = 406,309.50 : x
  2. Step 2: Convert to fraction form
    171,844.50/406,309.50 = 406,309.50/x
  3. Step 3: Cross multiply
    171,844.50x = 406,309.50 × 406,309.50
  4. Step 4: Simplify right side
    171,844.50x = 165,087,409,790.25
  5. Step 5: Solve for x
    x = 165,087,409,790.25/171,844.50
  6. Step 6: Final answer
    x = 960,679.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.