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Finding the Third Proportional to 222,092 and 316,526

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Solution

The third proportional to 222,092 and 316,526 is: 451,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,092 : 316,526 = 316,526 : x
  2. Step 2: Convert to fraction form
    222,092/316,526 = 316,526/x
  3. Step 3: Cross multiply
    222,092x = 316,526 × 316,526
  4. Step 4: Simplify right side
    222,092x = 100,188,708,676
  5. Step 5: Solve for x
    x = 100,188,708,676/222,092
  6. Step 6: Final answer
    x = 451,113.54

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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.