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Finding the Third Proportional to 193,670 and 293,403

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Solution

The third proportional to 193,670 and 293,403 is: 444,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,670 : 293,403 = 293,403 : x
  2. Step 2: Convert to fraction form
    193,670/293,403 = 293,403/x
  3. Step 3: Cross multiply
    193,670x = 293,403 × 293,403
  4. Step 4: Simplify right side
    193,670x = 86,085,320,409
  5. Step 5: Solve for x
    x = 86,085,320,409/193,670
  6. Step 6: Final answer
    x = 444,494.86

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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.