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Finding the Third Proportional to 201,769 and 282,774

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Solution

The third proportional to 201,769 and 282,774 is: 396,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,769 : 282,774 = 282,774 : x
  2. Step 2: Convert to fraction form
    201,769/282,774 = 282,774/x
  3. Step 3: Cross multiply
    201,769x = 282,774 × 282,774
  4. Step 4: Simplify right side
    201,769x = 79,961,135,076
  5. Step 5: Solve for x
    x = 79,961,135,076/201,769
  6. Step 6: Final answer
    x = 396,300.40

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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.