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Finding the Third Proportional to 165,866 and 355,399

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Solution

The third proportional to 165,866 and 355,399 is: 761,508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,866 : 355,399 = 355,399 : x
  2. Step 2: Convert to fraction form
    165,866/355,399 = 355,399/x
  3. Step 3: Cross multiply
    165,866x = 355,399 × 355,399
  4. Step 4: Simplify right side
    165,866x = 126,308,449,201
  5. Step 5: Solve for x
    x = 126,308,449,201/165,866
  6. Step 6: Final answer
    x = 761,508.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.