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Finding the Third Proportional to 178,452 and 260,973

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Solution

The third proportional to 178,452 and 260,973 is: 381,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,452 : 260,973 = 260,973 : x
  2. Step 2: Convert to fraction form
    178,452/260,973 = 260,973/x
  3. Step 3: Cross multiply
    178,452x = 260,973 × 260,973
  4. Step 4: Simplify right side
    178,452x = 68,106,906,729
  5. Step 5: Solve for x
    x = 68,106,906,729/178,452
  6. Step 6: Final answer
    x = 381,653.93

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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.