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Finding the Third Proportional to 201,136 and 434,175

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Solution

The third proportional to 201,136 and 434,175 is: 937,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,136 : 434,175 = 434,175 : x
  2. Step 2: Convert to fraction form
    201,136/434,175 = 434,175/x
  3. Step 3: Cross multiply
    201,136x = 434,175 × 434,175
  4. Step 4: Simplify right side
    201,136x = 188,507,930,625
  5. Step 5: Solve for x
    x = 188,507,930,625/201,136
  6. Step 6: Final answer
    x = 937,216.26

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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.