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Finding the Third Proportional to 210,686 and 446,156

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Solution

The third proportional to 210,686 and 446,156 is: 944,795.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,686 : 446,156 = 446,156 : x
  2. Step 2: Convert to fraction form
    210,686/446,156 = 446,156/x
  3. Step 3: Cross multiply
    210,686x = 446,156 × 446,156
  4. Step 4: Simplify right side
    210,686x = 199,055,176,336
  5. Step 5: Solve for x
    x = 199,055,176,336/210,686
  6. Step 6: Final answer
    x = 944,795.46

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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.