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Finding the Third Proportional to 155,912 and 342,510

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Solution

The third proportional to 155,912 and 342,510 is: 752,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,912 : 342,510 = 342,510 : x
  2. Step 2: Convert to fraction form
    155,912/342,510 = 342,510/x
  3. Step 3: Cross multiply
    155,912x = 342,510 × 342,510
  4. Step 4: Simplify right side
    155,912x = 117,313,100,100
  5. Step 5: Solve for x
    x = 117,313,100,100/155,912
  6. Step 6: Final answer
    x = 752,431.50

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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.