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Finding the Third Proportional to 155,736 and 327,024

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Solution

The third proportional to 155,736 and 327,024 is: 686,705.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,736 : 327,024 = 327,024 : x
  2. Step 2: Convert to fraction form
    155,736/327,024 = 327,024/x
  3. Step 3: Cross multiply
    155,736x = 327,024 × 327,024
  4. Step 4: Simplify right side
    155,736x = 106,944,696,576
  5. Step 5: Solve for x
    x = 106,944,696,576/155,736
  6. Step 6: Final answer
    x = 686,705.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.