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Finding the Third Proportional to 115,917.75 and 253,975.50

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Solution

The third proportional to 115,917.75 and 253,975.50 is: 556,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,917.75 : 253,975.50 = 253,975.50 : x
  2. Step 2: Convert to fraction form
    115,917.75/253,975.50 = 253,975.50/x
  3. Step 3: Cross multiply
    115,917.75x = 253,975.50 × 253,975.50
  4. Step 4: Simplify right side
    115,917.75x = 64,503,554,600.25
  5. Step 5: Solve for x
    x = 64,503,554,600.25/115,917.75
  6. Step 6: Final answer
    x = 556,459.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.