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Finding the Third Proportional to 182,169 and 275,794.50

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Solution

The third proportional to 182,169 and 275,794.50 is: 417,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,169 : 275,794.50 = 275,794.50 : x
  2. Step 2: Convert to fraction form
    182,169/275,794.50 = 275,794.50/x
  3. Step 3: Cross multiply
    182,169x = 275,794.50 × 275,794.50
  4. Step 4: Simplify right side
    182,169x = 76,062,606,230.25
  5. Step 5: Solve for x
    x = 76,062,606,230.25/182,169
  6. Step 6: Final answer
    x = 417,538.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.