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Finding the Third Proportional to 80,301 and 174,913

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Solution

The third proportional to 80,301 and 174,913 is: 380,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,301 : 174,913 = 174,913 : x
  2. Step 2: Convert to fraction form
    80,301/174,913 = 174,913/x
  3. Step 3: Cross multiply
    80,301x = 174,913 × 174,913
  4. Step 4: Simplify right side
    80,301x = 30,594,557,569
  5. Step 5: Solve for x
    x = 30,594,557,569/80,301
  6. Step 6: Final answer
    x = 380,998.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.