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Finding the Third Proportional to 151,213.50 and 235,191

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Solution

The third proportional to 151,213.50 and 235,191 is: 365,806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,213.50 : 235,191 = 235,191 : x
  2. Step 2: Convert to fraction form
    151,213.50/235,191 = 235,191/x
  3. Step 3: Cross multiply
    151,213.50x = 235,191 × 235,191
  4. Step 4: Simplify right side
    151,213.50x = 55,314,806,481
  5. Step 5: Solve for x
    x = 55,314,806,481/151,213.50
  6. Step 6: Final answer
    x = 365,806.01

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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.