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Finding the Third Proportional to 182,511 and 244,132.50

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Solution

The third proportional to 182,511 and 244,132.50 is: 326,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,511 : 244,132.50 = 244,132.50 : x
  2. Step 2: Convert to fraction form
    182,511/244,132.50 = 244,132.50/x
  3. Step 3: Cross multiply
    182,511x = 244,132.50 × 244,132.50
  4. Step 4: Simplify right side
    182,511x = 59,600,677,556.25
  5. Step 5: Solve for x
    x = 59,600,677,556.25/182,511
  6. Step 6: Final answer
    x = 326,559.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.