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Finding the Third Proportional to 80,284 and 165,427.50

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Solution

The third proportional to 80,284 and 165,427.50 is: 340,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,284 : 165,427.50 = 165,427.50 : x
  2. Step 2: Convert to fraction form
    80,284/165,427.50 = 165,427.50/x
  3. Step 3: Cross multiply
    80,284x = 165,427.50 × 165,427.50
  4. Step 4: Simplify right side
    80,284x = 27,366,257,756.25
  5. Step 5: Solve for x
    x = 27,366,257,756.25/80,284
  6. Step 6: Final answer
    x = 340,868.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.