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Finding the Third Proportional to 121,192 and 259,232

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Solution

The third proportional to 121,192 and 259,232 is: 554,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,192 : 259,232 = 259,232 : x
  2. Step 2: Convert to fraction form
    121,192/259,232 = 259,232/x
  3. Step 3: Cross multiply
    121,192x = 259,232 × 259,232
  4. Step 4: Simplify right side
    121,192x = 67,201,229,824
  5. Step 5: Solve for x
    x = 67,201,229,824/121,192
  6. Step 6: Final answer
    x = 554,502.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.