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Finding the Third Proportional to 110,320 and 174,768

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Solution

The third proportional to 110,320 and 174,768 is: 276,865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,320 : 174,768 = 174,768 : x
  2. Step 2: Convert to fraction form
    110,320/174,768 = 174,768/x
  3. Step 3: Cross multiply
    110,320x = 174,768 × 174,768
  4. Step 4: Simplify right side
    110,320x = 30,543,853,824
  5. Step 5: Solve for x
    x = 30,543,853,824/110,320
  6. Step 6: Final answer
    x = 276,865.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.