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Finding the Third Proportional to 155,922 and 342,530

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Solution

The third proportional to 155,922 and 342,530 is: 752,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,922 : 342,530 = 342,530 : x
  2. Step 2: Convert to fraction form
    155,922/342,530 = 342,530/x
  3. Step 3: Cross multiply
    155,922x = 342,530 × 342,530
  4. Step 4: Simplify right side
    155,922x = 117,326,800,900
  5. Step 5: Solve for x
    x = 117,326,800,900/155,922
  6. Step 6: Final answer
    x = 752,471.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.