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Finding the Third Proportional to 193,013 and 292,800

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Solution

The third proportional to 193,013 and 292,800 is: 444,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,013 : 292,800 = 292,800 : x
  2. Step 2: Convert to fraction form
    193,013/292,800 = 292,800/x
  3. Step 3: Cross multiply
    193,013x = 292,800 × 292,800
  4. Step 4: Simplify right side
    193,013x = 85,731,840,000
  5. Step 5: Solve for x
    x = 85,731,840,000/193,013
  6. Step 6: Final answer
    x = 444,176.51

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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.