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Finding the Third Proportional to 202,378 and 435,372

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Solution

The third proportional to 202,378 and 435,372 is: 936,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,378 : 435,372 = 435,372 : x
  2. Step 2: Convert to fraction form
    202,378/435,372 = 435,372/x
  3. Step 3: Cross multiply
    202,378x = 435,372 × 435,372
  4. Step 4: Simplify right side
    202,378x = 189,548,778,384
  5. Step 5: Solve for x
    x = 189,548,778,384/202,378
  6. Step 6: Final answer
    x = 936,607.63

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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.