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Finding the Third Proportional to 188,993.25 and 292,420.13

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Solution

The third proportional to 188,993.25 and 292,420.13 is: 452,447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,993.25 : 292,420.13 = 292,420.13 : x
  2. Step 2: Convert to fraction form
    188,993.25/292,420.13 = 292,420.13/x
  3. Step 3: Cross multiply
    188,993.25x = 292,420.13 × 292,420.13
  4. Step 4: Simplify right side
    188,993.25x = 85,509,529,505.02
  5. Step 5: Solve for x
    x = 85,509,529,505.02/188,993.25
  6. Step 6: Final answer
    x = 452,447.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.