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Finding the Third Proportional to 154,495.13 and 238,742.44

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Solution

The third proportional to 154,495.13 and 238,742.44 is: 368,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,495.13 : 238,742.44 = 238,742.44 : x
  2. Step 2: Convert to fraction form
    154,495.13/238,742.44 = 238,742.44/x
  3. Step 3: Cross multiply
    154,495.13x = 238,742.44 × 238,742.44
  4. Step 4: Simplify right side
    154,495.13x = 56,997,951,463.44
  5. Step 5: Solve for x
    x = 56,997,951,463.44/154,495.13
  6. Step 6: Final answer
    x = 368,930.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.