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Finding the Third Proportional to 110,176 and 241,440

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Solution

The third proportional to 110,176 and 241,440 is: 529,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,176 : 241,440 = 241,440 : x
  2. Step 2: Convert to fraction form
    110,176/241,440 = 241,440/x
  3. Step 3: Cross multiply
    110,176x = 241,440 × 241,440
  4. Step 4: Simplify right side
    110,176x = 58,293,273,600
  5. Step 5: Solve for x
    x = 58,293,273,600/110,176
  6. Step 6: Final answer
    x = 529,092.30

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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.