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Finding the Third Proportional to 110,844 and 240,648

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Solution

The third proportional to 110,844 and 240,648 is: 522,459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,844 : 240,648 = 240,648 : x
  2. Step 2: Convert to fraction form
    110,844/240,648 = 240,648/x
  3. Step 3: Cross multiply
    110,844x = 240,648 × 240,648
  4. Step 4: Simplify right side
    110,844x = 57,911,459,904
  5. Step 5: Solve for x
    x = 57,911,459,904/110,844
  6. Step 6: Final answer
    x = 522,459.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.