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Finding the Third Proportional to 201,196 and 426,378

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Solution

The third proportional to 201,196 and 426,378 is: 903,587.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,196 : 426,378 = 426,378 : x
  2. Step 2: Convert to fraction form
    201,196/426,378 = 426,378/x
  3. Step 3: Cross multiply
    201,196x = 426,378 × 426,378
  4. Step 4: Simplify right side
    201,196x = 181,798,198,884
  5. Step 5: Solve for x
    x = 181,798,198,884/201,196
  6. Step 6: Final answer
    x = 903,587.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.