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Finding the Third Proportional to 191,365 and 273,925

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Solution

The third proportional to 191,365 and 273,925 is: 392,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,365 : 273,925 = 273,925 : x
  2. Step 2: Convert to fraction form
    191,365/273,925 = 273,925/x
  3. Step 3: Cross multiply
    191,365x = 273,925 × 273,925
  4. Step 4: Simplify right side
    191,365x = 75,034,905,625
  5. Step 5: Solve for x
    x = 75,034,905,625/191,365
  6. Step 6: Final answer
    x = 392,103.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.