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Finding the Third Proportional to 201,769 and 282,773

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Solution

The third proportional to 201,769 and 282,773 is: 396,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,769 : 282,773 = 282,773 : x
  2. Step 2: Convert to fraction form
    201,769/282,773 = 282,773/x
  3. Step 3: Cross multiply
    201,769x = 282,773 × 282,773
  4. Step 4: Simplify right side
    201,769x = 79,960,569,529
  5. Step 5: Solve for x
    x = 79,960,569,529/201,769
  6. Step 6: Final answer
    x = 396,297.60

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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.