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Finding the Third Proportional to 152,081 and 222,343

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Solution

The third proportional to 152,081 and 222,343 is: 325,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,081 : 222,343 = 222,343 : x
  2. Step 2: Convert to fraction form
    152,081/222,343 = 222,343/x
  3. Step 3: Cross multiply
    152,081x = 222,343 × 222,343
  4. Step 4: Simplify right side
    152,081x = 49,436,409,649
  5. Step 5: Solve for x
    x = 49,436,409,649/152,081
  6. Step 6: Final answer
    x = 325,066.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.