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Finding the Third Proportional to 202,281.75 and 291,380.63

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Solution

The third proportional to 202,281.75 and 291,380.63 is: 419,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,281.75 : 291,380.63 = 291,380.63 : x
  2. Step 2: Convert to fraction form
    202,281.75/291,380.63 = 291,380.63/x
  3. Step 3: Cross multiply
    202,281.75x = 291,380.63 × 291,380.63
  4. Step 4: Simplify right side
    202,281.75x = 84,902,668,625.39
  5. Step 5: Solve for x
    x = 84,902,668,625.39/202,281.75
  6. Step 6: Final answer
    x = 419,724.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.