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Finding the Third Proportional to 192,544 and 429,360

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Solution

The third proportional to 192,544 and 429,360 is: 957,443.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,544 : 429,360 = 429,360 : x
  2. Step 2: Convert to fraction form
    192,544/429,360 = 429,360/x
  3. Step 3: Cross multiply
    192,544x = 429,360 × 429,360
  4. Step 4: Simplify right side
    192,544x = 184,350,009,600
  5. Step 5: Solve for x
    x = 184,350,009,600/192,544
  6. Step 6: Final answer
    x = 957,443.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.