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Finding the Third Proportional to 197,293 and 434,802

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Solution

The third proportional to 197,293 and 434,802 is: 958,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,293 : 434,802 = 434,802 : x
  2. Step 2: Convert to fraction form
    197,293/434,802 = 434,802/x
  3. Step 3: Cross multiply
    197,293x = 434,802 × 434,802
  4. Step 4: Simplify right side
    197,293x = 189,052,779,204
  5. Step 5: Solve for x
    x = 189,052,779,204/197,293
  6. Step 6: Final answer
    x = 958,233.59

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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.