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Finding the Third Proportional to 210,085 and 302,005

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Solution

The third proportional to 210,085 and 302,005 is: 434,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,085 : 302,005 = 302,005 : x
  2. Step 2: Convert to fraction form
    210,085/302,005 = 302,005/x
  3. Step 3: Cross multiply
    210,085x = 302,005 × 302,005
  4. Step 4: Simplify right side
    210,085x = 91,207,020,025
  5. Step 5: Solve for x
    x = 91,207,020,025/210,085
  6. Step 6: Final answer
    x = 434,143.42

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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.