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Finding the Third Proportional to 191,445 and 274,025.25

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Solution

The third proportional to 191,445 and 274,025.25 is: 392,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,445 : 274,025.25 = 274,025.25 : x
  2. Step 2: Convert to fraction form
    191,445/274,025.25 = 274,025.25/x
  3. Step 3: Cross multiply
    191,445x = 274,025.25 × 274,025.25
  4. Step 4: Simplify right side
    191,445x = 75,089,837,637.56
  5. Step 5: Solve for x
    x = 75,089,837,637.56/191,445
  6. Step 6: Final answer
    x = 392,226.68

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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.