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Finding the Third Proportional to 193,544 and 293,240

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Solution

The third proportional to 193,544 and 293,240 is: 444,290.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,544 : 293,240 = 293,240 : x
  2. Step 2: Convert to fraction form
    193,544/293,240 = 293,240/x
  3. Step 3: Cross multiply
    193,544x = 293,240 × 293,240
  4. Step 4: Simplify right side
    193,544x = 85,989,697,600
  5. Step 5: Solve for x
    x = 85,989,697,600/193,544
  6. Step 6: Final answer
    x = 444,290.17

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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.