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Finding the Third Proportional to 135,968.63 and 293,556.38

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Solution

The third proportional to 135,968.63 and 293,556.38 is: 633,788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,968.63 : 293,556.38 = 293,556.38 : x
  2. Step 2: Convert to fraction form
    135,968.63/293,556.38 = 293,556.38/x
  3. Step 3: Cross multiply
    135,968.63x = 293,556.38 × 293,556.38
  4. Step 4: Simplify right side
    135,968.63x = 86,175,345,303.14
  5. Step 5: Solve for x
    x = 86,175,345,303.14/135,968.63
  6. Step 6: Final answer
    x = 633,788.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.