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Finding the Third Proportional to 165,188 and 364,511

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Solution

The third proportional to 165,188 and 364,511 is: 804,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,188 : 364,511 = 364,511 : x
  2. Step 2: Convert to fraction form
    165,188/364,511 = 364,511/x
  3. Step 3: Cross multiply
    165,188x = 364,511 × 364,511
  4. Step 4: Simplify right side
    165,188x = 132,868,269,121
  5. Step 5: Solve for x
    x = 132,868,269,121/165,188
  6. Step 6: Final answer
    x = 804,345.77

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.