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Finding the Third Proportional to 201,612 and 282,577.50

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Solution

The third proportional to 201,612 and 282,577.50 is: 396,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,612 : 282,577.50 = 282,577.50 : x
  2. Step 2: Convert to fraction form
    201,612/282,577.50 = 282,577.50/x
  3. Step 3: Cross multiply
    201,612x = 282,577.50 × 282,577.50
  4. Step 4: Simplify right side
    201,612x = 79,850,043,506.25
  5. Step 5: Solve for x
    x = 79,850,043,506.25/201,612
  6. Step 6: Final answer
    x = 396,057.99

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