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Finding the Third Proportional to 188,848.50 and 405,765

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Solution

The third proportional to 188,848.50 and 405,765 is: 871,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,848.50 : 405,765 = 405,765 : x
  2. Step 2: Convert to fraction form
    188,848.50/405,765 = 405,765/x
  3. Step 3: Cross multiply
    188,848.50x = 405,765 × 405,765
  4. Step 4: Simplify right side
    188,848.50x = 164,645,235,225
  5. Step 5: Solve for x
    x = 164,645,235,225/188,848.50
  6. Step 6: Final answer
    x = 871,837.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.