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Finding the Third Proportional to 157,115 and 222,141

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Solution

The third proportional to 157,115 and 222,141 is: 314,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,115 : 222,141 = 222,141 : x
  2. Step 2: Convert to fraction form
    157,115/222,141 = 222,141/x
  3. Step 3: Cross multiply
    157,115x = 222,141 × 222,141
  4. Step 4: Simplify right side
    157,115x = 49,346,623,881
  5. Step 5: Solve for x
    x = 49,346,623,881/157,115
  6. Step 6: Final answer
    x = 314,079.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.