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Finding the Third Proportional to 193,652 and 293,376

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Solution

The third proportional to 193,652 and 293,376 is: 444,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,652 : 293,376 = 293,376 : x
  2. Step 2: Convert to fraction form
    193,652/293,376 = 293,376/x
  3. Step 3: Cross multiply
    193,652x = 293,376 × 293,376
  4. Step 4: Simplify right side
    193,652x = 86,069,477,376
  5. Step 5: Solve for x
    x = 86,069,477,376/193,652
  6. Step 6: Final answer
    x = 444,454.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.