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Finding the Third Proportional to 135,409.88 and 293,418.75

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Solution

The third proportional to 135,409.88 and 293,418.75 is: 635,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,409.88 : 293,418.75 = 293,418.75 : x
  2. Step 2: Convert to fraction form
    135,409.88/293,418.75 = 293,418.75/x
  3. Step 3: Cross multiply
    135,409.88x = 293,418.75 × 293,418.75
  4. Step 4: Simplify right side
    135,409.88x = 86,094,562,851.56
  5. Step 5: Solve for x
    x = 86,094,562,851.56/135,409.88
  6. Step 6: Final answer
    x = 635,807.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.