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Finding the Third Proportional to 201,131.75 and 277,060

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Solution

The third proportional to 201,131.75 and 277,060 is: 381,651.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,131.75 : 277,060 = 277,060 : x
  2. Step 2: Convert to fraction form
    201,131.75/277,060 = 277,060/x
  3. Step 3: Cross multiply
    201,131.75x = 277,060 × 277,060
  4. Step 4: Simplify right side
    201,131.75x = 76,762,243,600
  5. Step 5: Solve for x
    x = 76,762,243,600/201,131.75
  6. Step 6: Final answer
    x = 381,651.55

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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.