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Finding the Third Proportional to 207,102 and 446,823

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Solution

The third proportional to 207,102 and 446,823 is: 964,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,102 : 446,823 = 446,823 : x
  2. Step 2: Convert to fraction form
    207,102/446,823 = 446,823/x
  3. Step 3: Cross multiply
    207,102x = 446,823 × 446,823
  4. Step 4: Simplify right side
    207,102x = 199,650,793,329
  5. Step 5: Solve for x
    x = 199,650,793,329/207,102
  6. Step 6: Final answer
    x = 964,021.56

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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.