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Finding the Third Proportional to 189,211 and 292,997

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Solution

The third proportional to 189,211 and 292,997 is: 453,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,211 : 292,997 = 292,997 : x
  2. Step 2: Convert to fraction form
    189,211/292,997 = 292,997/x
  3. Step 3: Cross multiply
    189,211x = 292,997 × 292,997
  4. Step 4: Simplify right side
    189,211x = 85,847,242,009
  5. Step 5: Solve for x
    x = 85,847,242,009/189,211
  6. Step 6: Final answer
    x = 453,711.69

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