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Finding the Third Proportional to 201,136 and 277,066

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Solution

The third proportional to 201,136 and 277,066 is: 381,660.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,136 : 277,066 = 277,066 : x
  2. Step 2: Convert to fraction form
    201,136/277,066 = 277,066/x
  3. Step 3: Cross multiply
    201,136x = 277,066 × 277,066
  4. Step 4: Simplify right side
    201,136x = 76,765,568,356
  5. Step 5: Solve for x
    x = 76,765,568,356/201,136
  6. Step 6: Final answer
    x = 381,660.01

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Why These Related Problems?

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