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Finding the Third Proportional to 222,088.50 and 488,450.25

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Solution

The third proportional to 222,088.50 and 488,450.25 is: 1,074,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,088.50 : 488,450.25 = 488,450.25 : x
  2. Step 2: Convert to fraction form
    222,088.50/488,450.25 = 488,450.25/x
  3. Step 3: Cross multiply
    222,088.50x = 488,450.25 × 488,450.25
  4. Step 4: Simplify right side
    222,088.50x = 238,583,646,725.06
  5. Step 5: Solve for x
    x = 238,583,646,725.06/222,088.50
  6. Step 6: Final answer
    x = 1,074,272.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.