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Finding the Third Proportional to 165,145.50 and 221,656.50

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Solution

The third proportional to 165,145.50 and 221,656.50 is: 297,504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,145.50 : 221,656.50 = 221,656.50 : x
  2. Step 2: Convert to fraction form
    165,145.50/221,656.50 = 221,656.50/x
  3. Step 3: Cross multiply
    165,145.50x = 221,656.50 × 221,656.50
  4. Step 4: Simplify right side
    165,145.50x = 49,131,603,992.25
  5. Step 5: Solve for x
    x = 49,131,603,992.25/165,145.50
  6. Step 6: Final answer
    x = 297,504.95

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.