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Finding the Third Proportional to 110,016 and 240,640

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Solution

The third proportional to 110,016 and 240,640 is: 526,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,016 : 240,640 = 240,640 : x
  2. Step 2: Convert to fraction form
    110,016/240,640 = 240,640/x
  3. Step 3: Cross multiply
    110,016x = 240,640 × 240,640
  4. Step 4: Simplify right side
    110,016x = 57,907,609,600
  5. Step 5: Solve for x
    x = 57,907,609,600/110,016
  6. Step 6: Final answer
    x = 526,356.25

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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.