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Finding the Third Proportional to 110,542 and 236,844

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Solution

The third proportional to 110,542 and 236,844 is: 507,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,542 : 236,844 = 236,844 : x
  2. Step 2: Convert to fraction form
    110,542/236,844 = 236,844/x
  3. Step 3: Cross multiply
    110,542x = 236,844 × 236,844
  4. Step 4: Simplify right side
    110,542x = 56,095,080,336
  5. Step 5: Solve for x
    x = 56,095,080,336/110,542
  6. Step 6: Final answer
    x = 507,454.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.