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Finding the Third Proportional to 150,969 and 234,837.75

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Solution

The third proportional to 150,969 and 234,837.75 is: 365,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,969 : 234,837.75 = 234,837.75 : x
  2. Step 2: Convert to fraction form
    150,969/234,837.75 = 234,837.75/x
  3. Step 3: Cross multiply
    150,969x = 234,837.75 × 234,837.75
  4. Step 4: Simplify right side
    150,969x = 55,148,768,825.06
  5. Step 5: Solve for x
    x = 55,148,768,825.06/150,969
  6. Step 6: Final answer
    x = 365,298.63

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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.