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Finding the Third Proportional to 197,292 and 434,799

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Solution

The third proportional to 197,292 and 434,799 is: 958,225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,292 : 434,799 = 434,799 : x
  2. Step 2: Convert to fraction form
    197,292/434,799 = 434,799/x
  3. Step 3: Cross multiply
    197,292x = 434,799 × 434,799
  4. Step 4: Simplify right side
    197,292x = 189,050,170,401
  5. Step 5: Solve for x
    x = 189,050,170,401/197,292
  6. Step 6: Final answer
    x = 958,225.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.