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Finding the Third Proportional to 201,734 and 439,042

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Solution

The third proportional to 201,734 and 439,042 is: 955,505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,734 : 439,042 = 439,042 : x
  2. Step 2: Convert to fraction form
    201,734/439,042 = 439,042/x
  3. Step 3: Cross multiply
    201,734x = 439,042 × 439,042
  4. Step 4: Simplify right side
    201,734x = 192,757,877,764
  5. Step 5: Solve for x
    x = 192,757,877,764/201,734
  6. Step 6: Final answer
    x = 955,505.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.