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Finding the Third Proportional to 94,436 and 202,904

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Solution

The third proportional to 94,436 and 202,904 is: 435,956.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,436 : 202,904 = 202,904 : x
  2. Step 2: Convert to fraction form
    94,436/202,904 = 202,904/x
  3. Step 3: Cross multiply
    94,436x = 202,904 × 202,904
  4. Step 4: Simplify right side
    94,436x = 41,170,033,216
  5. Step 5: Solve for x
    x = 41,170,033,216/94,436
  6. Step 6: Final answer
    x = 435,956.98

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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.