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Finding the Third Proportional to 151,440.75 and 233,478.56

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Solution

The third proportional to 151,440.75 and 233,478.56 is: 359,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,440.75 : 233,478.56 = 233,478.56 : x
  2. Step 2: Convert to fraction form
    151,440.75/233,478.56 = 233,478.56/x
  3. Step 3: Cross multiply
    151,440.75x = 233,478.56 × 233,478.56
  4. Step 4: Simplify right side
    151,440.75x = 54,512,239,147.07
  5. Step 5: Solve for x
    x = 54,512,239,147.07/151,440.75
  6. Step 6: Final answer
    x = 359,957.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.