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Finding the Third Proportional to 110,140 and 241,388

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Solution

The third proportional to 110,140 and 241,388 is: 529,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,140 : 241,388 = 241,388 : x
  2. Step 2: Convert to fraction form
    110,140/241,388 = 241,388/x
  3. Step 3: Cross multiply
    110,140x = 241,388 × 241,388
  4. Step 4: Simplify right side
    110,140x = 58,268,166,544
  5. Step 5: Solve for x
    x = 58,268,166,544/110,140
  6. Step 6: Final answer
    x = 529,037.28

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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.