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Finding the Third Proportional to 115,039.25 and 246,071.50

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Solution

The third proportional to 115,039.25 and 246,071.50 is: 526,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,039.25 : 246,071.50 = 246,071.50 : x
  2. Step 2: Convert to fraction form
    115,039.25/246,071.50 = 246,071.50/x
  3. Step 3: Cross multiply
    115,039.25x = 246,071.50 × 246,071.50
  4. Step 4: Simplify right side
    115,039.25x = 60,551,183,112.25
  5. Step 5: Solve for x
    x = 60,551,183,112.25/115,039.25
  6. Step 6: Final answer
    x = 526,352.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.