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Finding the Third Proportional to 154,808 and 231,612

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Solution

The third proportional to 154,808 and 231,612 is: 346,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,808 : 231,612 = 231,612 : x
  2. Step 2: Convert to fraction form
    154,808/231,612 = 231,612/x
  3. Step 3: Cross multiply
    154,808x = 231,612 × 231,612
  4. Step 4: Simplify right side
    154,808x = 53,644,118,544
  5. Step 5: Solve for x
    x = 53,644,118,544/154,808
  6. Step 6: Final answer
    x = 346,520.33

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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.