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Finding the Third Proportional to 202,711.50 and 442,723.50

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Solution

The third proportional to 202,711.50 and 442,723.50 is: 966,911.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,711.50 : 442,723.50 = 442,723.50 : x
  2. Step 2: Convert to fraction form
    202,711.50/442,723.50 = 442,723.50/x
  3. Step 3: Cross multiply
    202,711.50x = 442,723.50 × 442,723.50
  4. Step 4: Simplify right side
    202,711.50x = 196,004,097,452.25
  5. Step 5: Solve for x
    x = 196,004,097,452.25/202,711.50
  6. Step 6: Final answer
    x = 966,911.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.