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Finding the Third Proportional to 116,264 and 248,388

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Solution

The third proportional to 116,264 and 248,388 is: 530,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,264 : 248,388 = 248,388 : x
  2. Step 2: Convert to fraction form
    116,264/248,388 = 248,388/x
  3. Step 3: Cross multiply
    116,264x = 248,388 × 248,388
  4. Step 4: Simplify right side
    116,264x = 61,696,598,544
  5. Step 5: Solve for x
    x = 61,696,598,544/116,264
  6. Step 6: Final answer
    x = 530,659.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.