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Finding the Third Proportional to 150,040 and 230,071

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Solution

The third proportional to 150,040 and 230,071 is: 352,790.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,040 : 230,071 = 230,071 : x
  2. Step 2: Convert to fraction form
    150,040/230,071 = 230,071/x
  3. Step 3: Cross multiply
    150,040x = 230,071 × 230,071
  4. Step 4: Simplify right side
    150,040x = 52,932,665,041
  5. Step 5: Solve for x
    x = 52,932,665,041/150,040
  6. Step 6: Final answer
    x = 352,790.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.