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Finding the Third Proportional to 180,088 and 388,107

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Solution

The third proportional to 180,088 and 388,107 is: 836,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,088 : 388,107 = 388,107 : x
  2. Step 2: Convert to fraction form
    180,088/388,107 = 388,107/x
  3. Step 3: Cross multiply
    180,088x = 388,107 × 388,107
  4. Step 4: Simplify right side
    180,088x = 150,627,043,449
  5. Step 5: Solve for x
    x = 150,627,043,449/180,088
  6. Step 6: Final answer
    x = 836,408.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.