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Finding the Third Proportional to 110,824 and 175,514

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Solution

The third proportional to 110,824 and 175,514 is: 277,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,824 : 175,514 = 175,514 : x
  2. Step 2: Convert to fraction form
    110,824/175,514 = 175,514/x
  3. Step 3: Cross multiply
    110,824x = 175,514 × 175,514
  4. Step 4: Simplify right side
    110,824x = 30,805,164,196
  5. Step 5: Solve for x
    x = 30,805,164,196/110,824
  6. Step 6: Final answer
    x = 277,964.74

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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.