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Finding the Third Proportional to 137,598.75 and 303,130.69

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Solution

The third proportional to 137,598.75 and 303,130.69 is: 667,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,598.75 : 303,130.69 = 303,130.69 : x
  2. Step 2: Convert to fraction form
    137,598.75/303,130.69 = 303,130.69/x
  3. Step 3: Cross multiply
    137,598.75x = 303,130.69 × 303,130.69
  4. Step 4: Simplify right side
    137,598.75x = 91,888,213,704.22
  5. Step 5: Solve for x
    x = 91,888,213,704.22/137,598.75
  6. Step 6: Final answer
    x = 667,798.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.