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Finding the Third Proportional to 116,834 and 253,351

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Solution

The third proportional to 116,834 and 253,351 is: 549,383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,834 : 253,351 = 253,351 : x
  2. Step 2: Convert to fraction form
    116,834/253,351 = 253,351/x
  3. Step 3: Cross multiply
    116,834x = 253,351 × 253,351
  4. Step 4: Simplify right side
    116,834x = 64,186,729,201
  5. Step 5: Solve for x
    x = 64,186,729,201/116,834
  6. Step 6: Final answer
    x = 549,383.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.