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Finding the Third Proportional to 110,595 and 241,887.50

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Solution

The third proportional to 110,595 and 241,887.50 is: 529,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,595 : 241,887.50 = 241,887.50 : x
  2. Step 2: Convert to fraction form
    110,595/241,887.50 = 241,887.50/x
  3. Step 3: Cross multiply
    110,595x = 241,887.50 × 241,887.50
  4. Step 4: Simplify right side
    110,595x = 58,509,562,656.25
  5. Step 5: Solve for x
    x = 58,509,562,656.25/110,595
  6. Step 6: Final answer
    x = 529,043.47

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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.