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Finding the Third Proportional to 222,143 and 316,594

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Solution

The third proportional to 222,143 and 316,594 is: 451,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,143 : 316,594 = 316,594 : x
  2. Step 2: Convert to fraction form
    222,143/316,594 = 316,594/x
  3. Step 3: Cross multiply
    222,143x = 316,594 × 316,594
  4. Step 4: Simplify right side
    222,143x = 100,231,760,836
  5. Step 5: Solve for x
    x = 100,231,760,836/222,143
  6. Step 6: Final answer
    x = 451,203.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.