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Finding the Third Proportional to 155,536 and 326,736

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Solution

The third proportional to 155,536 and 326,736 is: 686,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,536 : 326,736 = 326,736 : x
  2. Step 2: Convert to fraction form
    155,536/326,736 = 326,736/x
  3. Step 3: Cross multiply
    155,536x = 326,736 × 326,736
  4. Step 4: Simplify right side
    155,536x = 106,756,413,696
  5. Step 5: Solve for x
    x = 106,756,413,696/155,536
  6. Step 6: Final answer
    x = 686,377.52

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