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Finding the Third Proportional to 202,384 and 435,384

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Solution

The third proportional to 202,384 and 435,384 is: 936,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,384 : 435,384 = 435,384 : x
  2. Step 2: Convert to fraction form
    202,384/435,384 = 435,384/x
  3. Step 3: Cross multiply
    202,384x = 435,384 × 435,384
  4. Step 4: Simplify right side
    202,384x = 189,559,227,456
  5. Step 5: Solve for x
    x = 189,559,227,456/202,384
  6. Step 6: Final answer
    x = 936,631.49

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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.