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Finding the Third Proportional to 179,940.75 and 382,021.50

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Solution

The third proportional to 179,940.75 and 382,021.50 is: 811,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,940.75 : 382,021.50 = 382,021.50 : x
  2. Step 2: Convert to fraction form
    179,940.75/382,021.50 = 382,021.50/x
  3. Step 3: Cross multiply
    179,940.75x = 382,021.50 × 382,021.50
  4. Step 4: Simplify right side
    179,940.75x = 145,940,426,462.25
  5. Step 5: Solve for x
    x = 145,940,426,462.25/179,940.75
  6. Step 6: Final answer
    x = 811,047.12

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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.