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Finding the Third Proportional to 259,227 and 370,696

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Solution

The third proportional to 259,227 and 370,696 is: 530,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,227 : 370,696 = 370,696 : x
  2. Step 2: Convert to fraction form
    259,227/370,696 = 370,696/x
  3. Step 3: Cross multiply
    259,227x = 370,696 × 370,696
  4. Step 4: Simplify right side
    259,227x = 137,415,524,416
  5. Step 5: Solve for x
    x = 137,415,524,416/259,227
  6. Step 6: Final answer
    x = 530,097.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.