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Finding the Third Proportional to 225,026 and 531,194

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Solution

The third proportional to 225,026 and 531,194 is: 1,253,930.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,026 : 531,194 = 531,194 : x
  2. Step 2: Convert to fraction form
    225,026/531,194 = 531,194/x
  3. Step 3: Cross multiply
    225,026x = 531,194 × 531,194
  4. Step 4: Simplify right side
    225,026x = 282,167,065,636
  5. Step 5: Solve for x
    x = 282,167,065,636/225,026
  6. Step 6: Final answer
    x = 1,253,930.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.