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Finding the Third Proportional to 210,204 and 302,184

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Solution

The third proportional to 210,204 and 302,184 is: 434,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,204 : 302,184 = 302,184 : x
  2. Step 2: Convert to fraction form
    210,204/302,184 = 302,184/x
  3. Step 3: Cross multiply
    210,204x = 302,184 × 302,184
  4. Step 4: Simplify right side
    210,204x = 91,315,169,856
  5. Step 5: Solve for x
    x = 91,315,169,856/210,204
  6. Step 6: Final answer
    x = 434,412.14

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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.