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Finding the Third Proportional to 155,571.75 and 232,364.25

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Solution

The third proportional to 155,571.75 and 232,364.25 is: 347,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,571.75 : 232,364.25 = 232,364.25 : x
  2. Step 2: Convert to fraction form
    155,571.75/232,364.25 = 232,364.25/x
  3. Step 3: Cross multiply
    155,571.75x = 232,364.25 × 232,364.25
  4. Step 4: Simplify right side
    155,571.75x = 53,993,144,678.06
  5. Step 5: Solve for x
    x = 53,993,144,678.06/155,571.75
  6. Step 6: Final answer
    x = 347,062.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.