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Finding the Third Proportional to 201,703.50 and 274,080.38

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Solution

The third proportional to 201,703.50 and 274,080.38 is: 372,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,703.50 : 274,080.38 = 274,080.38 : x
  2. Step 2: Convert to fraction form
    201,703.50/274,080.38 = 274,080.38/x
  3. Step 3: Cross multiply
    201,703.50x = 274,080.38 × 274,080.38
  4. Step 4: Simplify right side
    201,703.50x = 75,120,051,960.14
  5. Step 5: Solve for x
    x = 75,120,051,960.14/201,703.50
  6. Step 6: Final answer
    x = 372,428.10

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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.