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Finding the Third Proportional to 116,899 and 253,724

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Solution

The third proportional to 116,899 and 253,724 is: 550,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,899 : 253,724 = 253,724 : x
  2. Step 2: Convert to fraction form
    116,899/253,724 = 253,724/x
  3. Step 3: Cross multiply
    116,899x = 253,724 × 253,724
  4. Step 4: Simplify right side
    116,899x = 64,375,868,176
  5. Step 5: Solve for x
    x = 64,375,868,176/116,899
  6. Step 6: Final answer
    x = 550,696.48

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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.