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Finding the Third Proportional to 110,476 and 175,213

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Solution

The third proportional to 110,476 and 175,213 is: 277,884.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,476 : 175,213 = 175,213 : x
  2. Step 2: Convert to fraction form
    110,476/175,213 = 175,213/x
  3. Step 3: Cross multiply
    110,476x = 175,213 × 175,213
  4. Step 4: Simplify right side
    110,476x = 30,699,595,369
  5. Step 5: Solve for x
    x = 30,699,595,369/110,476
  6. Step 6: Final answer
    x = 277,884.75

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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.