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Finding the Third Proportional to 193,608 and 293,331

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Solution

The third proportional to 193,608 and 293,331 is: 444,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,608 : 293,331 = 293,331 : x
  2. Step 2: Convert to fraction form
    193,608/293,331 = 293,331/x
  3. Step 3: Cross multiply
    193,608x = 293,331 × 293,331
  4. Step 4: Simplify right side
    193,608x = 86,043,075,561
  5. Step 5: Solve for x
    x = 86,043,075,561/193,608
  6. Step 6: Final answer
    x = 444,419.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.