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Finding the Third Proportional to 150,026 and 232,205

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Solution

The third proportional to 150,026 and 232,205 is: 359,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,026 : 232,205 = 232,205 : x
  2. Step 2: Convert to fraction form
    150,026/232,205 = 232,205/x
  3. Step 3: Cross multiply
    150,026x = 232,205 × 232,205
  4. Step 4: Simplify right side
    150,026x = 53,919,162,025
  5. Step 5: Solve for x
    x = 53,919,162,025/150,026
  6. Step 6: Final answer
    x = 359,398.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.