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Finding the Third Proportional to 196,209.50 and 303,752.25

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Solution

The third proportional to 196,209.50 and 303,752.25 is: 470,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,209.50 : 303,752.25 = 303,752.25 : x
  2. Step 2: Convert to fraction form
    196,209.50/303,752.25 = 303,752.25/x
  3. Step 3: Cross multiply
    196,209.50x = 303,752.25 × 303,752.25
  4. Step 4: Simplify right side
    196,209.50x = 92,265,429,380.06
  5. Step 5: Solve for x
    x = 92,265,429,380.06/196,209.50
  6. Step 6: Final answer
    x = 470,239.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.