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Finding the Third Proportional to 230,100 and 492,184

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Solution

The third proportional to 230,100 and 492,184 is: 1,052,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,100 : 492,184 = 492,184 : x
  2. Step 2: Convert to fraction form
    230,100/492,184 = 492,184/x
  3. Step 3: Cross multiply
    230,100x = 492,184 × 492,184
  4. Step 4: Simplify right side
    230,100x = 242,245,089,856
  5. Step 5: Solve for x
    x = 242,245,089,856/230,100
  6. Step 6: Final answer
    x = 1,052,781.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.