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Finding the Third Proportional to 201,232 and 434,336

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Solution

The third proportional to 201,232 and 434,336 is: 937,464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,232 : 434,336 = 434,336 : x
  2. Step 2: Convert to fraction form
    201,232/434,336 = 434,336/x
  3. Step 3: Cross multiply
    201,232x = 434,336 × 434,336
  4. Step 4: Simplify right side
    201,232x = 188,647,760,896
  5. Step 5: Solve for x
    x = 188,647,760,896/201,232
  6. Step 6: Final answer
    x = 937,464.03

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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.