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Finding the Third Proportional to 269,194 and 417,025

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Solution

The third proportional to 269,194 and 417,025 is: 646,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,194 : 417,025 = 417,025 : x
  2. Step 2: Convert to fraction form
    269,194/417,025 = 417,025/x
  3. Step 3: Cross multiply
    269,194x = 417,025 × 417,025
  4. Step 4: Simplify right side
    269,194x = 173,909,850,625
  5. Step 5: Solve for x
    x = 173,909,850,625/269,194
  6. Step 6: Final answer
    x = 646,039.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.