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Finding the Third Proportional to 152,138 and 238,652

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Solution

The third proportional to 152,138 and 238,652 is: 374,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,138 : 238,652 = 238,652 : x
  2. Step 2: Convert to fraction form
    152,138/238,652 = 238,652/x
  3. Step 3: Cross multiply
    152,138x = 238,652 × 238,652
  4. Step 4: Simplify right side
    152,138x = 56,954,777,104
  5. Step 5: Solve for x
    x = 56,954,777,104/152,138
  6. Step 6: Final answer
    x = 374,362.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.