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Finding the Third Proportional to 201,765 and 436,929

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Solution

The third proportional to 201,765 and 436,929 is: 946,184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,765 : 436,929 = 436,929 : x
  2. Step 2: Convert to fraction form
    201,765/436,929 = 436,929/x
  3. Step 3: Cross multiply
    201,765x = 436,929 × 436,929
  4. Step 4: Simplify right side
    201,765x = 190,906,951,041
  5. Step 5: Solve for x
    x = 190,906,951,041/201,765
  6. Step 6: Final answer
    x = 946,184.68

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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.