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Finding the Third Proportional to 196,954.50 and 300,352.50

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Solution

The third proportional to 196,954.50 and 300,352.50 is: 458,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,954.50 : 300,352.50 = 300,352.50 : x
  2. Step 2: Convert to fraction form
    196,954.50/300,352.50 = 300,352.50/x
  3. Step 3: Cross multiply
    196,954.50x = 300,352.50 × 300,352.50
  4. Step 4: Simplify right side
    196,954.50x = 90,211,624,256.25
  5. Step 5: Solve for x
    x = 90,211,624,256.25/196,954.50
  6. Step 6: Final answer
    x = 458,032.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.