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Finding the Third Proportional to 116,865 and 251,187.75

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Solution

The third proportional to 116,865 and 251,187.75 is: 539,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,865 : 251,187.75 = 251,187.75 : x
  2. Step 2: Convert to fraction form
    116,865/251,187.75 = 251,187.75/x
  3. Step 3: Cross multiply
    116,865x = 251,187.75 × 251,187.75
  4. Step 4: Simplify right side
    116,865x = 63,095,285,750.06
  5. Step 5: Solve for x
    x = 63,095,285,750.06/116,865
  6. Step 6: Final answer
    x = 539,898.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.