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Finding the Third Proportional to 151,742 and 238,005

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Solution

The third proportional to 151,742 and 238,005 is: 373,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,742 : 238,005 = 238,005 : x
  2. Step 2: Convert to fraction form
    151,742/238,005 = 238,005/x
  3. Step 3: Cross multiply
    151,742x = 238,005 × 238,005
  4. Step 4: Simplify right side
    151,742x = 56,646,380,025
  5. Step 5: Solve for x
    x = 56,646,380,025/151,742
  6. Step 6: Final answer
    x = 373,307.19

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