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Finding the Third Proportional to 154,828 and 231,666

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Solution

The third proportional to 154,828 and 231,666 is: 346,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,828 : 231,666 = 231,666 : x
  2. Step 2: Convert to fraction form
    154,828/231,666 = 231,666/x
  3. Step 3: Cross multiply
    154,828x = 231,666 × 231,666
  4. Step 4: Simplify right side
    154,828x = 53,669,135,556
  5. Step 5: Solve for x
    x = 53,669,135,556/154,828
  6. Step 6: Final answer
    x = 346,637.14

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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.