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Finding the Third Proportional to 140,697 and 201,183.75

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Solution

The third proportional to 140,697 and 201,183.75 is: 287,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,697 : 201,183.75 = 201,183.75 : x
  2. Step 2: Convert to fraction form
    140,697/201,183.75 = 201,183.75/x
  3. Step 3: Cross multiply
    140,697x = 201,183.75 × 201,183.75
  4. Step 4: Simplify right side
    140,697x = 40,474,901,264.06
  5. Step 5: Solve for x
    x = 40,474,901,264.06/140,697
  6. Step 6: Final answer
    x = 287,674.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.