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Finding the Third Proportional to 207,256 and 430,092

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Solution

The third proportional to 207,256 and 430,092 is: 892,515.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,256 : 430,092 = 430,092 : x
  2. Step 2: Convert to fraction form
    207,256/430,092 = 430,092/x
  3. Step 3: Cross multiply
    207,256x = 430,092 × 430,092
  4. Step 4: Simplify right side
    207,256x = 184,979,128,464
  5. Step 5: Solve for x
    x = 184,979,128,464/207,256
  6. Step 6: Final answer
    x = 892,515.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.