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Finding the Third Proportional to 193,626 and 293,352

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Solution

The third proportional to 193,626 and 293,352 is: 444,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,626 : 293,352 = 293,352 : x
  2. Step 2: Convert to fraction form
    193,626/293,352 = 293,352/x
  3. Step 3: Cross multiply
    193,626x = 293,352 × 293,352
  4. Step 4: Simplify right side
    193,626x = 86,055,395,904
  5. Step 5: Solve for x
    x = 86,055,395,904/193,626
  6. Step 6: Final answer
    x = 444,441.32

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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.