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Finding the Third Proportional to 202,226 and 434,980

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Solution

The third proportional to 202,226 and 434,980 is: 935,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,226 : 434,980 = 434,980 : x
  2. Step 2: Convert to fraction form
    202,226/434,980 = 434,980/x
  3. Step 3: Cross multiply
    202,226x = 434,980 × 434,980
  4. Step 4: Simplify right side
    202,226x = 189,207,600,400
  5. Step 5: Solve for x
    x = 189,207,600,400/202,226
  6. Step 6: Final answer
    x = 935,624.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.