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Finding the Third Proportional to 154,680 and 233,268

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Solution

The third proportional to 154,680 and 233,268 is: 351,784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,680 : 233,268 = 233,268 : x
  2. Step 2: Convert to fraction form
    154,680/233,268 = 233,268/x
  3. Step 3: Cross multiply
    154,680x = 233,268 × 233,268
  4. Step 4: Simplify right side
    154,680x = 54,413,959,824
  5. Step 5: Solve for x
    x = 54,413,959,824/154,680
  6. Step 6: Final answer
    x = 351,784.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.