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Finding the Third Proportional to 76,203 and 184,907.50

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Solution

The third proportional to 76,203 and 184,907.50 is: 448,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,203 : 184,907.50 = 184,907.50 : x
  2. Step 2: Convert to fraction form
    76,203/184,907.50 = 184,907.50/x
  3. Step 3: Cross multiply
    76,203x = 184,907.50 × 184,907.50
  4. Step 4: Simplify right side
    76,203x = 34,190,783,556.25
  5. Step 5: Solve for x
    x = 34,190,783,556.25/76,203
  6. Step 6: Final answer
    x = 448,680.28

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.