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Finding the Third Proportional to 202,074.75 and 311,536.13

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Solution

The third proportional to 202,074.75 and 311,536.13 is: 480,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,074.75 : 311,536.13 = 311,536.13 : x
  2. Step 2: Convert to fraction form
    202,074.75/311,536.13 = 311,536.13/x
  3. Step 3: Cross multiply
    202,074.75x = 311,536.13 × 311,536.13
  4. Step 4: Simplify right side
    202,074.75x = 97,054,757,180.02
  5. Step 5: Solve for x
    x = 97,054,757,180.02/202,074.75
  6. Step 6: Final answer
    x = 480,291.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.