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Finding the Third Proportional to 201,014 and 272,995

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Solution

The third proportional to 201,014 and 272,995 is: 370,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,014 : 272,995 = 272,995 : x
  2. Step 2: Convert to fraction form
    201,014/272,995 = 272,995/x
  3. Step 3: Cross multiply
    201,014x = 272,995 × 272,995
  4. Step 4: Simplify right side
    201,014x = 74,526,270,025
  5. Step 5: Solve for x
    x = 74,526,270,025/201,014
  6. Step 6: Final answer
    x = 370,751.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.