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Finding the Third Proportional to 194,424 and 419,196

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Solution

The third proportional to 194,424 and 419,196 is: 903,825.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,424 : 419,196 = 419,196 : x
  2. Step 2: Convert to fraction form
    194,424/419,196 = 419,196/x
  3. Step 3: Cross multiply
    194,424x = 419,196 × 419,196
  4. Step 4: Simplify right side
    194,424x = 175,725,286,416
  5. Step 5: Solve for x
    x = 175,725,286,416/194,424
  6. Step 6: Final answer
    x = 903,825.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.