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Finding the Third Proportional to 201,206 and 426,397

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Solution

The third proportional to 201,206 and 426,397 is: 903,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,206 : 426,397 = 426,397 : x
  2. Step 2: Convert to fraction form
    201,206/426,397 = 426,397/x
  3. Step 3: Cross multiply
    201,206x = 426,397 × 426,397
  4. Step 4: Simplify right side
    201,206x = 181,814,401,609
  5. Step 5: Solve for x
    x = 181,814,401,609/201,206
  6. Step 6: Final answer
    x = 903,623.16

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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.