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Finding the Third Proportional to 193,500 and 293,169

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Solution

The third proportional to 193,500 and 293,169 is: 444,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,500 : 293,169 = 293,169 : x
  2. Step 2: Convert to fraction form
    193,500/293,169 = 293,169/x
  3. Step 3: Cross multiply
    193,500x = 293,169 × 293,169
  4. Step 4: Simplify right side
    193,500x = 85,948,062,561
  5. Step 5: Solve for x
    x = 85,948,062,561/193,500
  6. Step 6: Final answer
    x = 444,176.03

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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.