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Finding the Third Proportional to 116,520 and 248,292

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Solution

The third proportional to 116,520 and 248,292 is: 529,084.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,520 : 248,292 = 248,292 : x
  2. Step 2: Convert to fraction form
    116,520/248,292 = 248,292/x
  3. Step 3: Cross multiply
    116,520x = 248,292 × 248,292
  4. Step 4: Simplify right side
    116,520x = 61,648,917,264
  5. Step 5: Solve for x
    x = 61,648,917,264/116,520
  6. Step 6: Final answer
    x = 529,084.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.