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Finding the Third Proportional to 188,465.25 and 406,455

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Solution

The third proportional to 188,465.25 and 406,455 is: 876,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,465.25 : 406,455 = 406,455 : x
  2. Step 2: Convert to fraction form
    188,465.25/406,455 = 406,455/x
  3. Step 3: Cross multiply
    188,465.25x = 406,455 × 406,455
  4. Step 4: Simplify right side
    188,465.25x = 165,205,667,025
  5. Step 5: Solve for x
    x = 165,205,667,025/188,465.25
  6. Step 6: Final answer
    x = 876,584.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.