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Finding the Third Proportional to 116,156.25 and 170,832.38

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Solution

The third proportional to 116,156.25 and 170,832.38 is: 251,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,156.25 : 170,832.38 = 170,832.38 : x
  2. Step 2: Convert to fraction form
    116,156.25/170,832.38 = 170,832.38/x
  3. Step 3: Cross multiply
    116,156.25x = 170,832.38 × 170,832.38
  4. Step 4: Simplify right side
    116,156.25x = 29,183,700,348.14
  5. Step 5: Solve for x
    x = 29,183,700,348.14/116,156.25
  6. Step 6: Final answer
    x = 251,245.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.