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Finding the Third Proportional to 157,724.44 and 238,467.94

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Solution

The third proportional to 157,724.44 and 238,467.94 is: 360,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,724.44 : 238,467.94 = 238,467.94 : x
  2. Step 2: Convert to fraction form
    157,724.44/238,467.94 = 238,467.94/x
  3. Step 3: Cross multiply
    157,724.44x = 238,467.94 × 238,467.94
  4. Step 4: Simplify right side
    157,724.44x = 56,866,957,215.50
  5. Step 5: Solve for x
    x = 56,866,957,215.50/157,724.44
  6. Step 6: Final answer
    x = 360,546.27

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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.