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Finding the Third Proportional to 178,356.75 and 244,571.50

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Solution

The third proportional to 178,356.75 and 244,571.50 is: 335,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,356.75 : 244,571.50 = 244,571.50 : x
  2. Step 2: Convert to fraction form
    178,356.75/244,571.50 = 244,571.50/x
  3. Step 3: Cross multiply
    178,356.75x = 244,571.50 × 244,571.50
  4. Step 4: Simplify right side
    178,356.75x = 59,815,218,612.25
  5. Step 5: Solve for x
    x = 59,815,218,612.25/178,356.75
  6. Step 6: Final answer
    x = 335,368.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.