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Finding the Third Proportional to 178,350 and 260,961

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Solution

The third proportional to 178,350 and 260,961 is: 381,837.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,350 : 260,961 = 260,961 : x
  2. Step 2: Convert to fraction form
    178,350/260,961 = 260,961/x
  3. Step 3: Cross multiply
    178,350x = 260,961 × 260,961
  4. Step 4: Simplify right side
    178,350x = 68,100,643,521
  5. Step 5: Solve for x
    x = 68,100,643,521/178,350
  6. Step 6: Final answer
    x = 381,837.08

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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.