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Finding the Third Proportional to 174,519 and 280,001.75

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Solution

The third proportional to 174,519 and 280,001.75 is: 449,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,519 : 280,001.75 = 280,001.75 : x
  2. Step 2: Convert to fraction form
    174,519/280,001.75 = 280,001.75/x
  3. Step 3: Cross multiply
    174,519x = 280,001.75 × 280,001.75
  4. Step 4: Simplify right side
    174,519x = 78,400,980,003.06
  5. Step 5: Solve for x
    x = 78,400,980,003.06/174,519
  6. Step 6: Final answer
    x = 449,240.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.