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Finding the Third Proportional to 178,122 and 255,150

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Solution

The third proportional to 178,122 and 255,150 is: 365,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,122 : 255,150 = 255,150 : x
  2. Step 2: Convert to fraction form
    178,122/255,150 = 255,150/x
  3. Step 3: Cross multiply
    178,122x = 255,150 × 255,150
  4. Step 4: Simplify right side
    178,122x = 65,101,522,500
  5. Step 5: Solve for x
    x = 65,101,522,500/178,122
  6. Step 6: Final answer
    x = 365,488.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.