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Finding the Third Proportional to 194,726 and 404,248

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Solution

The third proportional to 194,726 and 404,248 is: 839,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,726 : 404,248 = 404,248 : x
  2. Step 2: Convert to fraction form
    194,726/404,248 = 404,248/x
  3. Step 3: Cross multiply
    194,726x = 404,248 × 404,248
  4. Step 4: Simplify right side
    194,726x = 163,416,445,504
  5. Step 5: Solve for x
    x = 163,416,445,504/194,726
  6. Step 6: Final answer
    x = 839,212.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.