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Finding the Third Proportional to 180,994 and 386,025

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Solution

The third proportional to 180,994 and 386,025 is: 823,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,994 : 386,025 = 386,025 : x
  2. Step 2: Convert to fraction form
    180,994/386,025 = 386,025/x
  3. Step 3: Cross multiply
    180,994x = 386,025 × 386,025
  4. Step 4: Simplify right side
    180,994x = 149,015,300,625
  5. Step 5: Solve for x
    x = 149,015,300,625/180,994
  6. Step 6: Final answer
    x = 823,316.25

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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.