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Finding the Third Proportional to 180,241 and 371,906

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Solution

The third proportional to 180,241 and 371,906 is: 767,384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,241 : 371,906 = 371,906 : x
  2. Step 2: Convert to fraction form
    180,241/371,906 = 371,906/x
  3. Step 3: Cross multiply
    180,241x = 371,906 × 371,906
  4. Step 4: Simplify right side
    180,241x = 138,314,072,836
  5. Step 5: Solve for x
    x = 138,314,072,836/180,241
  6. Step 6: Final answer
    x = 767,384.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.