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Finding the Third Proportional to 116,832.38 and 175,053.38

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Solution

The third proportional to 116,832.38 and 175,053.38 is: 262,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,832.38 : 175,053.38 = 175,053.38 : x
  2. Step 2: Convert to fraction form
    116,832.38/175,053.38 = 175,053.38/x
  3. Step 3: Cross multiply
    116,832.38x = 175,053.38 × 175,053.38
  4. Step 4: Simplify right side
    116,832.38x = 30,643,684,098.89
  5. Step 5: Solve for x
    x = 30,643,684,098.89/116,832.38
  6. Step 6: Final answer
    x = 262,287.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.