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Finding the Third Proportional to 182,445.75 and 272,936.25

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Solution

The third proportional to 182,445.75 and 272,936.25 is: 408,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,445.75 : 272,936.25 = 272,936.25 : x
  2. Step 2: Convert to fraction form
    182,445.75/272,936.25 = 272,936.25/x
  3. Step 3: Cross multiply
    182,445.75x = 272,936.25 × 272,936.25
  4. Step 4: Simplify right side
    182,445.75x = 74,494,196,564.06
  5. Step 5: Solve for x
    x = 74,494,196,564.06/182,445.75
  6. Step 6: Final answer
    x = 408,308.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.