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Finding the Third Proportional to 110,175 and 238,668

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Solution

The third proportional to 110,175 and 238,668 is: 517,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,175 : 238,668 = 238,668 : x
  2. Step 2: Convert to fraction form
    110,175/238,668 = 238,668/x
  3. Step 3: Cross multiply
    110,175x = 238,668 × 238,668
  4. Step 4: Simplify right side
    110,175x = 56,962,414,224
  5. Step 5: Solve for x
    x = 56,962,414,224/110,175
  6. Step 6: Final answer
    x = 517,017.60

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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.