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Finding the Third Proportional to 222,119 and 316,564

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Solution

The third proportional to 222,119 and 316,564 is: 451,167.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,119 : 316,564 = 316,564 : x
  2. Step 2: Convert to fraction form
    222,119/316,564 = 316,564/x
  3. Step 3: Cross multiply
    222,119x = 316,564 × 316,564
  4. Step 4: Simplify right side
    222,119x = 100,212,766,096
  5. Step 5: Solve for x
    x = 100,212,766,096/222,119
  6. Step 6: Final answer
    x = 451,167.01

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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.