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Finding the Third Proportional to 210,206 and 302,187

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Solution

The third proportional to 210,206 and 302,187 is: 434,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,206 : 302,187 = 302,187 : x
  2. Step 2: Convert to fraction form
    210,206/302,187 = 302,187/x
  3. Step 3: Cross multiply
    210,206x = 302,187 × 302,187
  4. Step 4: Simplify right side
    210,206x = 91,316,982,969
  5. Step 5: Solve for x
    x = 91,316,982,969/210,206
  6. Step 6: Final answer
    x = 434,416.63

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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.