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Finding the Third Proportional to 173,144 and 260,859

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Solution

The third proportional to 173,144 and 260,859 is: 393,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,144 : 260,859 = 260,859 : x
  2. Step 2: Convert to fraction form
    173,144/260,859 = 260,859/x
  3. Step 3: Cross multiply
    173,144x = 260,859 × 260,859
  4. Step 4: Simplify right side
    173,144x = 68,047,417,881
  5. Step 5: Solve for x
    x = 68,047,417,881/173,144
  6. Step 6: Final answer
    x = 393,010.55

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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.