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Finding the Third Proportional to 109,054 and 234,806

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Solution

The third proportional to 109,054 and 234,806 is: 505,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,054 : 234,806 = 234,806 : x
  2. Step 2: Convert to fraction form
    109,054/234,806 = 234,806/x
  3. Step 3: Cross multiply
    109,054x = 234,806 × 234,806
  4. Step 4: Simplify right side
    109,054x = 55,133,857,636
  5. Step 5: Solve for x
    x = 55,133,857,636/109,054
  6. Step 6: Final answer
    x = 505,564.74

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