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Finding the Third Proportional to 201,265 and 434,057

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Solution

The third proportional to 201,265 and 434,057 is: 936,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,265 : 434,057 = 434,057 : x
  2. Step 2: Convert to fraction form
    201,265/434,057 = 434,057/x
  3. Step 3: Cross multiply
    201,265x = 434,057 × 434,057
  4. Step 4: Simplify right side
    201,265x = 188,405,479,249
  5. Step 5: Solve for x
    x = 188,405,479,249/201,265
  6. Step 6: Final answer
    x = 936,106.52

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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.