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Finding the Third Proportional to 154,534 and 233,966

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Solution

The third proportional to 154,534 and 233,966 is: 354,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,534 : 233,966 = 233,966 : x
  2. Step 2: Convert to fraction form
    154,534/233,966 = 233,966/x
  3. Step 3: Cross multiply
    154,534x = 233,966 × 233,966
  4. Step 4: Simplify right side
    154,534x = 54,740,089,156
  5. Step 5: Solve for x
    x = 54,740,089,156/154,534
  6. Step 6: Final answer
    x = 354,226.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.