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Finding the Third Proportional to 223,934 and 492,148

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Solution

The third proportional to 223,934 and 492,148 is: 1,081,611.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,934 : 492,148 = 492,148 : x
  2. Step 2: Convert to fraction form
    223,934/492,148 = 492,148/x
  3. Step 3: Cross multiply
    223,934x = 492,148 × 492,148
  4. Step 4: Simplify right side
    223,934x = 242,209,653,904
  5. Step 5: Solve for x
    x = 242,209,653,904/223,934
  6. Step 6: Final answer
    x = 1,081,611.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.