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Finding the Third Proportional to 202,298.75 and 442,694.25

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Solution

The third proportional to 202,298.75 and 442,694.25 is: 968,756.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,298.75 : 442,694.25 = 442,694.25 : x
  2. Step 2: Convert to fraction form
    202,298.75/442,694.25 = 442,694.25/x
  3. Step 3: Cross multiply
    202,298.75x = 442,694.25 × 442,694.25
  4. Step 4: Simplify right side
    202,298.75x = 195,978,198,983.06
  5. Step 5: Solve for x
    x = 195,978,198,983.06/202,298.75
  6. Step 6: Final answer
    x = 968,756.35

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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.