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Finding the Third Proportional to 170,662.50 and 229,745.25

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Solution

The third proportional to 170,662.50 and 229,745.25 is: 309,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,662.50 : 229,745.25 = 229,745.25 : x
  2. Step 2: Convert to fraction form
    170,662.50/229,745.25 = 229,745.25/x
  3. Step 3: Cross multiply
    170,662.50x = 229,745.25 × 229,745.25
  4. Step 4: Simplify right side
    170,662.50x = 52,782,879,897.56
  5. Step 5: Solve for x
    x = 52,782,879,897.56/170,662.50
  6. Step 6: Final answer
    x = 309,282.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.