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Finding the Third Proportional to 159,006.38 and 222,844.50

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Solution

The third proportional to 159,006.38 and 222,844.50 is: 312,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,006.38 : 222,844.50 = 222,844.50 : x
  2. Step 2: Convert to fraction form
    159,006.38/222,844.50 = 222,844.50/x
  3. Step 3: Cross multiply
    159,006.38x = 222,844.50 × 222,844.50
  4. Step 4: Simplify right side
    159,006.38x = 49,659,671,180.25
  5. Step 5: Solve for x
    x = 49,659,671,180.25/159,006.38
  6. Step 6: Final answer
    x = 312,312.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.