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Finding the Third Proportional to 201,773 and 282,779

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Solution

The third proportional to 201,773 and 282,779 is: 396,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,773 : 282,779 = 282,779 : x
  2. Step 2: Convert to fraction form
    201,773/282,779 = 282,779/x
  3. Step 3: Cross multiply
    201,773x = 282,779 × 282,779
  4. Step 4: Simplify right side
    201,773x = 79,963,962,841
  5. Step 5: Solve for x
    x = 79,963,962,841/201,773
  6. Step 6: Final answer
    x = 396,306.56

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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.