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Finding the Third Proportional to 201,133.50 and 277,062

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Solution

The third proportional to 201,133.50 and 277,062 is: 381,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,133.50 : 277,062 = 277,062 : x
  2. Step 2: Convert to fraction form
    201,133.50/277,062 = 277,062/x
  3. Step 3: Cross multiply
    201,133.50x = 277,062 × 277,062
  4. Step 4: Simplify right side
    201,133.50x = 76,763,351,844
  5. Step 5: Solve for x
    x = 76,763,351,844/201,133.50
  6. Step 6: Final answer
    x = 381,653.74

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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.