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Finding the Third Proportional to 114,493.50 and 182,298.09

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Solution

The third proportional to 114,493.50 and 182,298.09 is: 290,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,493.50 : 182,298.09 = 182,298.09 : x
  2. Step 2: Convert to fraction form
    114,493.50/182,298.09 = 182,298.09/x
  3. Step 3: Cross multiply
    114,493.50x = 182,298.09 × 182,298.09
  4. Step 4: Simplify right side
    114,493.50x = 33,232,594,984.88
  5. Step 5: Solve for x
    x = 33,232,594,984.88/114,493.50
  6. Step 6: Final answer
    x = 290,257.48

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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.