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Finding the Third Proportional to 180,236 and 371,896

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Solution

The third proportional to 180,236 and 371,896 is: 767,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,236 : 371,896 = 371,896 : x
  2. Step 2: Convert to fraction form
    180,236/371,896 = 371,896/x
  3. Step 3: Cross multiply
    180,236x = 371,896 × 371,896
  4. Step 4: Simplify right side
    180,236x = 138,306,634,816
  5. Step 5: Solve for x
    x = 138,306,634,816/180,236
  6. Step 6: Final answer
    x = 767,364.09

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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.