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Finding the Third Proportional to 188,262.75 and 413,721.75

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Solution

The third proportional to 188,262.75 and 413,721.75 is: 909,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,262.75 : 413,721.75 = 413,721.75 : x
  2. Step 2: Convert to fraction form
    188,262.75/413,721.75 = 413,721.75/x
  3. Step 3: Cross multiply
    188,262.75x = 413,721.75 × 413,721.75
  4. Step 4: Simplify right side
    188,262.75x = 171,165,686,423.06
  5. Step 5: Solve for x
    x = 171,165,686,423.06/188,262.75
  6. Step 6: Final answer
    x = 909,185.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.