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Finding the Third Proportional to 110,250 and 175,219

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Solution

The third proportional to 110,250 and 175,219 is: 278,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,250 : 175,219 = 175,219 : x
  2. Step 2: Convert to fraction form
    110,250/175,219 = 175,219/x
  3. Step 3: Cross multiply
    110,250x = 175,219 × 175,219
  4. Step 4: Simplify right side
    110,250x = 30,701,697,961
  5. Step 5: Solve for x
    x = 30,701,697,961/110,250
  6. Step 6: Final answer
    x = 278,473.45

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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.