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Finding the Third Proportional to 188,275.13 and 413,866.13

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Solution

The third proportional to 188,275.13 and 413,866.13 is: 909,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,275.13 : 413,866.13 = 413,866.13 : x
  2. Step 2: Convert to fraction form
    188,275.13/413,866.13 = 413,866.13/x
  3. Step 3: Cross multiply
    188,275.13x = 413,866.13 × 413,866.13
  4. Step 4: Simplify right side
    188,275.13x = 171,285,169,422.52
  5. Step 5: Solve for x
    x = 171,285,169,422.52/188,275.13
  6. Step 6: Final answer
    x = 909,759.96

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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.