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Finding the Third Proportional to 210,866 and 446,184

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Solution

The third proportional to 210,866 and 446,184 is: 944,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,866 : 446,184 = 446,184 : x
  2. Step 2: Convert to fraction form
    210,866/446,184 = 446,184/x
  3. Step 3: Cross multiply
    210,866x = 446,184 × 446,184
  4. Step 4: Simplify right side
    210,866x = 199,080,161,856
  5. Step 5: Solve for x
    x = 199,080,161,856/210,866
  6. Step 6: Final answer
    x = 944,107.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.