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Finding the Third Proportional to 154,822 and 231,657

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Solution

The third proportional to 154,822 and 231,657 is: 346,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,822 : 231,657 = 231,657 : x
  2. Step 2: Convert to fraction form
    154,822/231,657 = 231,657/x
  3. Step 3: Cross multiply
    154,822x = 231,657 × 231,657
  4. Step 4: Simplify right side
    154,822x = 53,664,965,649
  5. Step 5: Solve for x
    x = 53,664,965,649/154,822
  6. Step 6: Final answer
    x = 346,623.64

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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.