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Finding the Third Proportional to 196,212 and 303,750

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Solution

The third proportional to 196,212 and 303,750 is: 470,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,212 : 303,750 = 303,750 : x
  2. Step 2: Convert to fraction form
    196,212/303,750 = 303,750/x
  3. Step 3: Cross multiply
    196,212x = 303,750 × 303,750
  4. Step 4: Simplify right side
    196,212x = 92,264,062,500
  5. Step 5: Solve for x
    x = 92,264,062,500/196,212
  6. Step 6: Final answer
    x = 470,226.40

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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.