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Finding the Third Proportional to 188,507.25 and 410,252.34

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Solution

The third proportional to 188,507.25 and 410,252.34 is: 892,840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,507.25 : 410,252.34 = 410,252.34 : x
  2. Step 2: Convert to fraction form
    188,507.25/410,252.34 = 410,252.34/x
  3. Step 3: Cross multiply
    188,507.25x = 410,252.34 × 410,252.34
  4. Step 4: Simplify right side
    188,507.25x = 168,306,985,552.37
  5. Step 5: Solve for x
    x = 168,306,985,552.37/188,507.25
  6. Step 6: Final answer
    x = 892,840.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.