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Finding the Third Proportional to 201,683 and 438,926

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Solution

The third proportional to 201,683 and 438,926 is: 955,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,683 : 438,926 = 438,926 : x
  2. Step 2: Convert to fraction form
    201,683/438,926 = 438,926/x
  3. Step 3: Cross multiply
    201,683x = 438,926 × 438,926
  4. Step 4: Simplify right side
    201,683x = 192,656,033,476
  5. Step 5: Solve for x
    x = 192,656,033,476/201,683
  6. Step 6: Final answer
    x = 955,241.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.