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Finding the Third Proportional to 172,623 and 274,794

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Solution

The third proportional to 172,623 and 274,794 is: 437,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,623 : 274,794 = 274,794 : x
  2. Step 2: Convert to fraction form
    172,623/274,794 = 274,794/x
  3. Step 3: Cross multiply
    172,623x = 274,794 × 274,794
  4. Step 4: Simplify right side
    172,623x = 75,511,742,436
  5. Step 5: Solve for x
    x = 75,511,742,436/172,623
  6. Step 6: Final answer
    x = 437,437.32

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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.