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Finding the Third Proportional to 193,255.03 and 292,000.78

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Solution

The third proportional to 193,255.03 and 292,000.78 is: 441,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,255.03 : 292,000.78 = 292,000.78 : x
  2. Step 2: Convert to fraction form
    193,255.03/292,000.78 = 292,000.78/x
  3. Step 3: Cross multiply
    193,255.03x = 292,000.78 × 292,000.78
  4. Step 4: Simplify right side
    193,255.03x = 85,264,456,250.61
  5. Step 5: Solve for x
    x = 85,264,456,250.61/193,255.03
  6. Step 6: Final answer
    x = 441,201.74

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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.