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Finding the Third Proportional to 201,768 and 436,934

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Solution

The third proportional to 201,768 and 436,934 is: 946,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,768 : 436,934 = 436,934 : x
  2. Step 2: Convert to fraction form
    201,768/436,934 = 436,934/x
  3. Step 3: Cross multiply
    201,768x = 436,934 × 436,934
  4. Step 4: Simplify right side
    201,768x = 190,911,320,356
  5. Step 5: Solve for x
    x = 190,911,320,356/201,768
  6. Step 6: Final answer
    x = 946,192.26

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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.