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Finding the Third Proportional to 202,581 and 442,867.50

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Solution

The third proportional to 202,581 and 442,867.50 is: 968,163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,581 : 442,867.50 = 442,867.50 : x
  2. Step 2: Convert to fraction form
    202,581/442,867.50 = 442,867.50/x
  3. Step 3: Cross multiply
    202,581x = 442,867.50 × 442,867.50
  4. Step 4: Simplify right side
    202,581x = 196,131,622,556.25
  5. Step 5: Solve for x
    x = 196,131,622,556.25/202,581
  6. Step 6: Final answer
    x = 968,163.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.