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Finding the Third Proportional to 154,274 and 233,057

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Solution

The third proportional to 154,274 and 233,057 is: 352,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,274 : 233,057 = 233,057 : x
  2. Step 2: Convert to fraction form
    154,274/233,057 = 233,057/x
  3. Step 3: Cross multiply
    154,274x = 233,057 × 233,057
  4. Step 4: Simplify right side
    154,274x = 54,315,565,249
  5. Step 5: Solve for x
    x = 54,315,565,249/154,274
  6. Step 6: Final answer
    x = 352,072.06

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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.