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Finding the Third Proportional to 180,333 and 384,804

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Solution

The third proportional to 180,333 and 384,804 is: 821,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,333 : 384,804 = 384,804 : x
  2. Step 2: Convert to fraction form
    180,333/384,804 = 384,804/x
  3. Step 3: Cross multiply
    180,333x = 384,804 × 384,804
  4. Step 4: Simplify right side
    180,333x = 148,074,118,416
  5. Step 5: Solve for x
    x = 148,074,118,416/180,333
  6. Step 6: Final answer
    x = 821,114.93

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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.