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Finding the Third Proportional to 222,176.25 and 317,489.63

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Solution

The third proportional to 222,176.25 and 317,489.63 is: 453,692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,176.25 : 317,489.63 = 317,489.63 : x
  2. Step 2: Convert to fraction form
    222,176.25/317,489.63 = 317,489.63/x
  3. Step 3: Cross multiply
    222,176.25x = 317,489.63 × 317,489.63
  4. Step 4: Simplify right side
    222,176.25x = 100,799,661,982.64
  5. Step 5: Solve for x
    x = 100,799,661,982.64/222,176.25
  6. Step 6: Final answer
    x = 453,692.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.