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Finding the Third Proportional to 116,883 and 248,328

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Solution

The third proportional to 116,883 and 248,328 is: 527,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,883 : 248,328 = 248,328 : x
  2. Step 2: Convert to fraction form
    116,883/248,328 = 248,328/x
  3. Step 3: Cross multiply
    116,883x = 248,328 × 248,328
  4. Step 4: Simplify right side
    116,883x = 61,666,795,584
  5. Step 5: Solve for x
    x = 61,666,795,584/116,883
  6. Step 6: Final answer
    x = 527,594.22

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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.