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Finding the Third Proportional to 193,488.75 and 298,859.63

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Solution

The third proportional to 193,488.75 and 298,859.63 is: 461,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,488.75 : 298,859.63 = 298,859.63 : x
  2. Step 2: Convert to fraction form
    193,488.75/298,859.63 = 298,859.63/x
  3. Step 3: Cross multiply
    193,488.75x = 298,859.63 × 298,859.63
  4. Step 4: Simplify right side
    193,488.75x = 89,317,075,455.14
  5. Step 5: Solve for x
    x = 89,317,075,455.14/193,488.75
  6. Step 6: Final answer
    x = 461,613.79

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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.