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Finding the Third Proportional to 173,151 and 259,731

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Solution

The third proportional to 173,151 and 259,731 is: 389,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,151 : 259,731 = 259,731 : x
  2. Step 2: Convert to fraction form
    173,151/259,731 = 259,731/x
  3. Step 3: Cross multiply
    173,151x = 259,731 × 259,731
  4. Step 4: Simplify right side
    173,151x = 67,460,192,361
  5. Step 5: Solve for x
    x = 67,460,192,361/173,151
  6. Step 6: Final answer
    x = 389,603.25

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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.