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Finding the Third Proportional to 151,443 and 227,526.75

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Solution

The third proportional to 151,443 and 227,526.75 is: 341,834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,443 : 227,526.75 = 227,526.75 : x
  2. Step 2: Convert to fraction form
    151,443/227,526.75 = 227,526.75/x
  3. Step 3: Cross multiply
    151,443x = 227,526.75 × 227,526.75
  4. Step 4: Simplify right side
    151,443x = 51,768,421,965.56
  5. Step 5: Solve for x
    x = 51,768,421,965.56/151,443
  6. Step 6: Final answer
    x = 341,834.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.