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Finding the Third Proportional to 197,255.25 and 431,414.44

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Solution

The third proportional to 197,255.25 and 431,414.44 is: 943,541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,255.25 : 431,414.44 = 431,414.44 : x
  2. Step 2: Convert to fraction form
    197,255.25/431,414.44 = 431,414.44/x
  3. Step 3: Cross multiply
    197,255.25x = 431,414.44 × 431,414.44
  4. Step 4: Simplify right side
    197,255.25x = 186,118,416,883.44
  5. Step 5: Solve for x
    x = 186,118,416,883.44/197,255.25
  6. Step 6: Final answer
    x = 943,541.01

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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.