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Finding the Third Proportional to 110,284 and 175,274

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Solution

The third proportional to 110,284 and 175,274 is: 278,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,284 : 175,274 = 175,274 : x
  2. Step 2: Convert to fraction form
    110,284/175,274 = 175,274/x
  3. Step 3: Cross multiply
    110,284x = 175,274 × 175,274
  4. Step 4: Simplify right side
    110,284x = 30,720,975,076
  5. Step 5: Solve for x
    x = 30,720,975,076/110,284
  6. Step 6: Final answer
    x = 278,562.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.