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Finding the Third Proportional to 202,208 and 435,424

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Solution

The third proportional to 202,208 and 435,424 is: 937,618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,208 : 435,424 = 435,424 : x
  2. Step 2: Convert to fraction form
    202,208/435,424 = 435,424/x
  3. Step 3: Cross multiply
    202,208x = 435,424 × 435,424
  4. Step 4: Simplify right side
    202,208x = 189,594,059,776
  5. Step 5: Solve for x
    x = 189,594,059,776/202,208
  6. Step 6: Final answer
    x = 937,618.99

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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.