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Finding the Third Proportional to 188,401 and 282,604.50

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Solution

The third proportional to 188,401 and 282,604.50 is: 423,911.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,401 : 282,604.50 = 282,604.50 : x
  2. Step 2: Convert to fraction form
    188,401/282,604.50 = 282,604.50/x
  3. Step 3: Cross multiply
    188,401x = 282,604.50 × 282,604.50
  4. Step 4: Simplify right side
    188,401x = 79,865,303,420.25
  5. Step 5: Solve for x
    x = 79,865,303,420.25/188,401
  6. Step 6: Final answer
    x = 423,911.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.