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Finding the Third Proportional to 202,710 and 285,135.75

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Solution

The third proportional to 202,710 and 285,135.75 is: 401,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,710 : 285,135.75 = 285,135.75 : x
  2. Step 2: Convert to fraction form
    202,710/285,135.75 = 285,135.75/x
  3. Step 3: Cross multiply
    202,710x = 285,135.75 × 285,135.75
  4. Step 4: Simplify right side
    202,710x = 81,302,395,928.06
  5. Step 5: Solve for x
    x = 81,302,395,928.06/202,710
  6. Step 6: Final answer
    x = 401,077.38

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.