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Finding the Third Proportional to 70,794 and 154,714.50

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Solution

The third proportional to 70,794 and 154,714.50 is: 338,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,794 : 154,714.50 = 154,714.50 : x
  2. Step 2: Convert to fraction form
    70,794/154,714.50 = 154,714.50/x
  3. Step 3: Cross multiply
    70,794x = 154,714.50 × 154,714.50
  4. Step 4: Simplify right side
    70,794x = 23,936,576,510.25
  5. Step 5: Solve for x
    x = 23,936,576,510.25/70,794
  6. Step 6: Final answer
    x = 338,115.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.