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Finding the Third Proportional to 230,093 and 492,171

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Solution

The third proportional to 230,093 and 492,171 is: 1,052,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,093 : 492,171 = 492,171 : x
  2. Step 2: Convert to fraction form
    230,093/492,171 = 492,171/x
  3. Step 3: Cross multiply
    230,093x = 492,171 × 492,171
  4. Step 4: Simplify right side
    230,093x = 242,232,293,241
  5. Step 5: Solve for x
    x = 242,232,293,241/230,093
  6. Step 6: Final answer
    x = 1,052,758.20

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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.