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Finding the Third Proportional to 202,797.84 and 318,114.84

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Solution

The third proportional to 202,797.84 and 318,114.84 is: 499,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,797.84 : 318,114.84 = 318,114.84 : x
  2. Step 2: Convert to fraction form
    202,797.84/318,114.84 = 318,114.84/x
  3. Step 3: Cross multiply
    202,797.84x = 318,114.84 × 318,114.84
  4. Step 4: Simplify right side
    202,797.84x = 101,197,053,814.09
  5. Step 5: Solve for x
    x = 101,197,053,814.09/202,797.84
  6. Step 6: Final answer
    x = 499,004.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.