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Finding the Third Proportional to 178,560 and 260,992

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Solution

The third proportional to 178,560 and 260,992 is: 381,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,560 : 260,992 = 260,992 : x
  2. Step 2: Convert to fraction form
    178,560/260,992 = 260,992/x
  3. Step 3: Cross multiply
    178,560x = 260,992 × 260,992
  4. Step 4: Simplify right side
    178,560x = 68,116,824,064
  5. Step 5: Solve for x
    x = 68,116,824,064/178,560
  6. Step 6: Final answer
    x = 381,478.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.