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Finding the Third Proportional to 210,244 and 454,184

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Solution

The third proportional to 210,244 and 454,184 is: 981,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,244 : 454,184 = 454,184 : x
  2. Step 2: Convert to fraction form
    210,244/454,184 = 454,184/x
  3. Step 3: Cross multiply
    210,244x = 454,184 × 454,184
  4. Step 4: Simplify right side
    210,244x = 206,283,105,856
  5. Step 5: Solve for x
    x = 206,283,105,856/210,244
  6. Step 6: Final answer
    x = 981,160.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.