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Finding the Third Proportional to 114,738.75 and 248,539.50

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Solution

The third proportional to 114,738.75 and 248,539.50 is: 538,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,738.75 : 248,539.50 = 248,539.50 : x
  2. Step 2: Convert to fraction form
    114,738.75/248,539.50 = 248,539.50/x
  3. Step 3: Cross multiply
    114,738.75x = 248,539.50 × 248,539.50
  4. Step 4: Simplify right side
    114,738.75x = 61,771,883,060.25
  5. Step 5: Solve for x
    x = 61,771,883,060.25/114,738.75
  6. Step 6: Final answer
    x = 538,369.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.