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Finding the Third Proportional to 201,130.25 and 277,057.75

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Solution

The third proportional to 201,130.25 and 277,057.75 is: 381,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,130.25 : 277,057.75 = 277,057.75 : x
  2. Step 2: Convert to fraction form
    201,130.25/277,057.75 = 277,057.75/x
  3. Step 3: Cross multiply
    201,130.25x = 277,057.75 × 277,057.75
  4. Step 4: Simplify right side
    201,130.25x = 76,760,996,835.06
  5. Step 5: Solve for x
    x = 76,760,996,835.06/201,130.25
  6. Step 6: Final answer
    x = 381,648.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.