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Finding the Third Proportional to 199,785 and 301,749.75

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Solution

The third proportional to 199,785 and 301,749.75 is: 455,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,785 : 301,749.75 = 301,749.75 : x
  2. Step 2: Convert to fraction form
    199,785/301,749.75 = 301,749.75/x
  3. Step 3: Cross multiply
    199,785x = 301,749.75 × 301,749.75
  4. Step 4: Simplify right side
    199,785x = 91,052,911,625.06
  5. Step 5: Solve for x
    x = 91,052,911,625.06/199,785
  6. Step 6: Final answer
    x = 455,754.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.