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Finding the Third Proportional to 173,538 and 259,623

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Solution

The third proportional to 173,538 and 259,623 is: 388,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,538 : 259,623 = 259,623 : x
  2. Step 2: Convert to fraction form
    173,538/259,623 = 259,623/x
  3. Step 3: Cross multiply
    173,538x = 259,623 × 259,623
  4. Step 4: Simplify right side
    173,538x = 67,404,102,129
  5. Step 5: Solve for x
    x = 67,404,102,129/173,538
  6. Step 6: Final answer
    x = 388,411.20

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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.