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Finding the Third Proportional to 173,058 and 259,587

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Solution

The third proportional to 173,058 and 259,587 is: 389,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,058 : 259,587 = 259,587 : x
  2. Step 2: Convert to fraction form
    173,058/259,587 = 259,587/x
  3. Step 3: Cross multiply
    173,058x = 259,587 × 259,587
  4. Step 4: Simplify right side
    173,058x = 67,385,410,569
  5. Step 5: Solve for x
    x = 67,385,410,569/173,058
  6. Step 6: Final answer
    x = 389,380.50

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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.