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Finding the Third Proportional to 205,069 and 442,852

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Solution

The third proportional to 205,069 and 442,852 is: 956,350.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,069 : 442,852 = 442,852 : x
  2. Step 2: Convert to fraction form
    205,069/442,852 = 442,852/x
  3. Step 3: Cross multiply
    205,069x = 442,852 × 442,852
  4. Step 4: Simplify right side
    205,069x = 196,117,893,904
  5. Step 5: Solve for x
    x = 196,117,893,904/205,069
  6. Step 6: Final answer
    x = 956,350.76

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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.