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Finding the Third Proportional to 207,194 and 292,453.75

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Solution

The third proportional to 207,194 and 292,453.75 is: 412,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,194 : 292,453.75 = 292,453.75 : x
  2. Step 2: Convert to fraction form
    207,194/292,453.75 = 292,453.75/x
  3. Step 3: Cross multiply
    207,194x = 292,453.75 × 292,453.75
  4. Step 4: Simplify right side
    207,194x = 85,529,195,889.06
  5. Step 5: Solve for x
    x = 85,529,195,889.06/207,194
  6. Step 6: Final answer
    x = 412,797.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.