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Finding the Third Proportional to 201,784 and 282,794.50

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Solution

The third proportional to 201,784 and 282,794.50 is: 396,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,784 : 282,794.50 = 282,794.50 : x
  2. Step 2: Convert to fraction form
    201,784/282,794.50 = 282,794.50/x
  3. Step 3: Cross multiply
    201,784x = 282,794.50 × 282,794.50
  4. Step 4: Simplify right side
    201,784x = 79,972,729,230.25
  5. Step 5: Solve for x
    x = 79,972,729,230.25/201,784
  6. Step 6: Final answer
    x = 396,328.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.