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Finding the Third Proportional to 155,147 and 229,805

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Solution

The third proportional to 155,147 and 229,805 is: 340,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,147 : 229,805 = 229,805 : x
  2. Step 2: Convert to fraction form
    155,147/229,805 = 229,805/x
  3. Step 3: Cross multiply
    155,147x = 229,805 × 229,805
  4. Step 4: Simplify right side
    155,147x = 52,810,338,025
  5. Step 5: Solve for x
    x = 52,810,338,025/155,147
  6. Step 6: Final answer
    x = 340,389.04

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.