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Finding the Third Proportional to 94,254.75 and 203,267.25

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Solution

The third proportional to 94,254.75 and 203,267.25 is: 438,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,254.75 : 203,267.25 = 203,267.25 : x
  2. Step 2: Convert to fraction form
    94,254.75/203,267.25 = 203,267.25/x
  3. Step 3: Cross multiply
    94,254.75x = 203,267.25 × 203,267.25
  4. Step 4: Simplify right side
    94,254.75x = 41,317,574,922.56
  5. Step 5: Solve for x
    x = 41,317,574,922.56/94,254.75
  6. Step 6: Final answer
    x = 438,360.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.