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Finding the Third Proportional to 155,832 and 340,482

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Solution

The third proportional to 155,832 and 340,482 is: 743,929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,832 : 340,482 = 340,482 : x
  2. Step 2: Convert to fraction form
    155,832/340,482 = 340,482/x
  3. Step 3: Cross multiply
    155,832x = 340,482 × 340,482
  4. Step 4: Simplify right side
    155,832x = 115,927,992,324
  5. Step 5: Solve for x
    x = 115,927,992,324/155,832
  6. Step 6: Final answer
    x = 743,929.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.