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Finding the Third Proportional to 180,881 and 392,890

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Solution

The third proportional to 180,881 and 392,890 is: 853,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,881 : 392,890 = 392,890 : x
  2. Step 2: Convert to fraction form
    180,881/392,890 = 392,890/x
  3. Step 3: Cross multiply
    180,881x = 392,890 × 392,890
  4. Step 4: Simplify right side
    180,881x = 154,362,552,100
  5. Step 5: Solve for x
    x = 154,362,552,100/180,881
  6. Step 6: Final answer
    x = 853,392.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.