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Finding the Third Proportional to 206,140 and 434,424

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Solution

The third proportional to 206,140 and 434,424 is: 915,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,140 : 434,424 = 434,424 : x
  2. Step 2: Convert to fraction form
    206,140/434,424 = 434,424/x
  3. Step 3: Cross multiply
    206,140x = 434,424 × 434,424
  4. Step 4: Simplify right side
    206,140x = 188,724,211,776
  5. Step 5: Solve for x
    x = 188,724,211,776/206,140
  6. Step 6: Final answer
    x = 915,514.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.