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Finding the Third Proportional to 116,892 and 253,710

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Solution

The third proportional to 116,892 and 253,710 is: 550,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,892 : 253,710 = 253,710 : x
  2. Step 2: Convert to fraction form
    116,892/253,710 = 253,710/x
  3. Step 3: Cross multiply
    116,892x = 253,710 × 253,710
  4. Step 4: Simplify right side
    116,892x = 64,368,764,100
  5. Step 5: Solve for x
    x = 64,368,764,100/116,892
  6. Step 6: Final answer
    x = 550,668.69

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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.