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Finding the Third Proportional to 175,216.78 and 266,287.92

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Solution

The third proportional to 175,216.78 and 266,287.92 is: 404,694.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,216.78 : 266,287.92 = 266,287.92 : x
  2. Step 2: Convert to fraction form
    175,216.78/266,287.92 = 266,287.92/x
  3. Step 3: Cross multiply
    175,216.78x = 266,287.92 × 266,287.92
  4. Step 4: Simplify right side
    175,216.78x = 70,909,257,336.51
  5. Step 5: Solve for x
    x = 70,909,257,336.51/175,216.78
  6. Step 6: Final answer
    x = 404,694.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.