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Finding the Third Proportional to 180,935 and 385,916

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Solution

The third proportional to 180,935 and 385,916 is: 823,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,935 : 385,916 = 385,916 : x
  2. Step 2: Convert to fraction form
    180,935/385,916 = 385,916/x
  3. Step 3: Cross multiply
    180,935x = 385,916 × 385,916
  4. Step 4: Simplify right side
    180,935x = 148,931,159,056
  5. Step 5: Solve for x
    x = 148,931,159,056/180,935
  6. Step 6: Final answer
    x = 823,119.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.