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Finding the Third Proportional to 116,596 and 250,172

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Solution

The third proportional to 116,596 and 250,172 is: 536,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,596 : 250,172 = 250,172 : x
  2. Step 2: Convert to fraction form
    116,596/250,172 = 250,172/x
  3. Step 3: Cross multiply
    116,596x = 250,172 × 250,172
  4. Step 4: Simplify right side
    116,596x = 62,586,029,584
  5. Step 5: Solve for x
    x = 62,586,029,584/116,596
  6. Step 6: Final answer
    x = 536,776.82

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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.