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Finding the Third Proportional to 134,595 and 202,216.50

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Solution

The third proportional to 134,595 and 202,216.50 is: 303,811.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,595 : 202,216.50 = 202,216.50 : x
  2. Step 2: Convert to fraction form
    134,595/202,216.50 = 202,216.50/x
  3. Step 3: Cross multiply
    134,595x = 202,216.50 × 202,216.50
  4. Step 4: Simplify right side
    134,595x = 40,891,512,872.25
  5. Step 5: Solve for x
    x = 40,891,512,872.25/134,595
  6. Step 6: Final answer
    x = 303,811.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.