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Finding the Third Proportional to 210,086 and 302,006

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Solution

The third proportional to 210,086 and 302,006 is: 434,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,086 : 302,006 = 302,006 : x
  2. Step 2: Convert to fraction form
    210,086/302,006 = 302,006/x
  3. Step 3: Cross multiply
    210,086x = 302,006 × 302,006
  4. Step 4: Simplify right side
    210,086x = 91,207,624,036
  5. Step 5: Solve for x
    x = 91,207,624,036/210,086
  6. Step 6: Final answer
    x = 434,144.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.