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Finding the Third Proportional to 178,565 and 270,152

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Solution

The third proportional to 178,565 and 270,152 is: 408,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,565 : 270,152 = 270,152 : x
  2. Step 2: Convert to fraction form
    178,565/270,152 = 270,152/x
  3. Step 3: Cross multiply
    178,565x = 270,152 × 270,152
  4. Step 4: Simplify right side
    178,565x = 72,982,103,104
  5. Step 5: Solve for x
    x = 72,982,103,104/178,565
  6. Step 6: Final answer
    x = 408,714.49

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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.