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Finding the Third Proportional to 179,985 and 382,161

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Solution

The third proportional to 179,985 and 382,161 is: 811,440.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,985 : 382,161 = 382,161 : x
  2. Step 2: Convert to fraction form
    179,985/382,161 = 382,161/x
  3. Step 3: Cross multiply
    179,985x = 382,161 × 382,161
  4. Step 4: Simplify right side
    179,985x = 146,047,029,921
  5. Step 5: Solve for x
    x = 146,047,029,921/179,985
  6. Step 6: Final answer
    x = 811,440.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.