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Finding the Third Proportional to 201,172 and 439,711

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Solution

The third proportional to 201,172 and 439,711 is: 961,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,172 : 439,711 = 439,711 : x
  2. Step 2: Convert to fraction form
    201,172/439,711 = 439,711/x
  3. Step 3: Cross multiply
    201,172x = 439,711 × 439,711
  4. Step 4: Simplify right side
    201,172x = 193,345,763,521
  5. Step 5: Solve for x
    x = 193,345,763,521/201,172
  6. Step 6: Final answer
    x = 961,096.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.