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Finding the Third Proportional to 116,889 and 248,340

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Solution

The third proportional to 116,889 and 248,340 is: 527,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,889 : 248,340 = 248,340 : x
  2. Step 2: Convert to fraction form
    116,889/248,340 = 248,340/x
  3. Step 3: Cross multiply
    116,889x = 248,340 × 248,340
  4. Step 4: Simplify right side
    116,889x = 61,672,755,600
  5. Step 5: Solve for x
    x = 61,672,755,600/116,889
  6. Step 6: Final answer
    x = 527,618.13

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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.