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Finding the Third Proportional to 154,330 and 231,905

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Solution

The third proportional to 154,330 and 231,905 is: 348,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,330 : 231,905 = 231,905 : x
  2. Step 2: Convert to fraction form
    154,330/231,905 = 231,905/x
  3. Step 3: Cross multiply
    154,330x = 231,905 × 231,905
  4. Step 4: Simplify right side
    154,330x = 53,779,929,025
  5. Step 5: Solve for x
    x = 53,779,929,025/154,330
  6. Step 6: Final answer
    x = 348,473.59

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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.