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Finding the Third Proportional to 154,194 and 230,658

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Solution

The third proportional to 154,194 and 230,658 is: 345,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,194 : 230,658 = 230,658 : x
  2. Step 2: Convert to fraction form
    154,194/230,658 = 230,658/x
  3. Step 3: Cross multiply
    154,194x = 230,658 × 230,658
  4. Step 4: Simplify right side
    154,194x = 53,203,112,964
  5. Step 5: Solve for x
    x = 53,203,112,964/154,194
  6. Step 6: Final answer
    x = 345,040.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.