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Finding the Third Proportional to 178,724.25 and 263,927.25

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Solution

The third proportional to 178,724.25 and 263,927.25 is: 389,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,724.25 : 263,927.25 = 263,927.25 : x
  2. Step 2: Convert to fraction form
    178,724.25/263,927.25 = 263,927.25/x
  3. Step 3: Cross multiply
    178,724.25x = 263,927.25 × 263,927.25
  4. Step 4: Simplify right side
    178,724.25x = 69,657,593,292.56
  5. Step 5: Solve for x
    x = 69,657,593,292.56/178,724.25
  6. Step 6: Final answer
    x = 389,748.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.