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Finding the Third Proportional to 178,052 and 416,138

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Solution

The third proportional to 178,052 and 416,138 is: 972,585.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,052 : 416,138 = 416,138 : x
  2. Step 2: Convert to fraction form
    178,052/416,138 = 416,138/x
  3. Step 3: Cross multiply
    178,052x = 416,138 × 416,138
  4. Step 4: Simplify right side
    178,052x = 173,170,835,044
  5. Step 5: Solve for x
    x = 173,170,835,044/178,052
  6. Step 6: Final answer
    x = 972,585.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.