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Finding the Third Proportional to 195,608 and 429,232

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Solution

The third proportional to 195,608 and 429,232 is: 941,884.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,608 : 429,232 = 429,232 : x
  2. Step 2: Convert to fraction form
    195,608/429,232 = 429,232/x
  3. Step 3: Cross multiply
    195,608x = 429,232 × 429,232
  4. Step 4: Simplify right side
    195,608x = 184,240,109,824
  5. Step 5: Solve for x
    x = 184,240,109,824/195,608
  6. Step 6: Final answer
    x = 941,884.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.