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Finding the Third Proportional to 115,252 and 250,696

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Solution

The third proportional to 115,252 and 250,696 is: 545,313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,252 : 250,696 = 250,696 : x
  2. Step 2: Convert to fraction form
    115,252/250,696 = 250,696/x
  3. Step 3: Cross multiply
    115,252x = 250,696 × 250,696
  4. Step 4: Simplify right side
    115,252x = 62,848,484,416
  5. Step 5: Solve for x
    x = 62,848,484,416/115,252
  6. Step 6: Final answer
    x = 545,313.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.