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Finding the Third Proportional to 201,186 and 436,984

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Solution

The third proportional to 201,186 and 436,984 is: 949,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,186 : 436,984 = 436,984 : x
  2. Step 2: Convert to fraction form
    201,186/436,984 = 436,984/x
  3. Step 3: Cross multiply
    201,186x = 436,984 × 436,984
  4. Step 4: Simplify right side
    201,186x = 190,955,016,256
  5. Step 5: Solve for x
    x = 190,955,016,256/201,186
  6. Step 6: Final answer
    x = 949,146.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.