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Finding the Third Proportional to 151,215 and 235,194

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Solution

The third proportional to 151,215 and 235,194 is: 365,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,215 : 235,194 = 235,194 : x
  2. Step 2: Convert to fraction form
    151,215/235,194 = 235,194/x
  3. Step 3: Cross multiply
    151,215x = 235,194 × 235,194
  4. Step 4: Simplify right side
    151,215x = 55,316,217,636
  5. Step 5: Solve for x
    x = 55,316,217,636/151,215
  6. Step 6: Final answer
    x = 365,811.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.