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Finding the Third Proportional to 222,187.50 and 478,093.50

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Solution

The third proportional to 222,187.50 and 478,093.50 is: 1,028,741.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,187.50 : 478,093.50 = 478,093.50 : x
  2. Step 2: Convert to fraction form
    222,187.50/478,093.50 = 478,093.50/x
  3. Step 3: Cross multiply
    222,187.50x = 478,093.50 × 478,093.50
  4. Step 4: Simplify right side
    222,187.50x = 228,573,394,742.25
  5. Step 5: Solve for x
    x = 228,573,394,742.25/222,187.50
  6. Step 6: Final answer
    x = 1,028,741.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.