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Finding the Third Proportional to 164,230.03 and 222,048.84

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Solution

The third proportional to 164,230.03 and 222,048.84 is: 300,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,230.03 : 222,048.84 = 222,048.84 : x
  2. Step 2: Convert to fraction form
    164,230.03/222,048.84 = 222,048.84/x
  3. Step 3: Cross multiply
    164,230.03x = 222,048.84 × 222,048.84
  4. Step 4: Simplify right side
    164,230.03x = 49,305,689,010.71
  5. Step 5: Solve for x
    x = 49,305,689,010.71/164,230.03
  6. Step 6: Final answer
    x = 300,223.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.