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Finding the Third Proportional to 116,882 and 248,324

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Solution

The third proportional to 116,882 and 248,324 is: 527,581.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,882 : 248,324 = 248,324 : x
  2. Step 2: Convert to fraction form
    116,882/248,324 = 248,324/x
  3. Step 3: Cross multiply
    116,882x = 248,324 × 248,324
  4. Step 4: Simplify right side
    116,882x = 61,664,808,976
  5. Step 5: Solve for x
    x = 61,664,808,976/116,882
  6. Step 6: Final answer
    x = 527,581.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.