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Finding the Third Proportional to 155,832 and 336,585

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Solution

The third proportional to 155,832 and 336,585 is: 726,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,832 : 336,585 = 336,585 : x
  2. Step 2: Convert to fraction form
    155,832/336,585 = 336,585/x
  3. Step 3: Cross multiply
    155,832x = 336,585 × 336,585
  4. Step 4: Simplify right side
    155,832x = 113,289,462,225
  5. Step 5: Solve for x
    x = 113,289,462,225/155,832
  6. Step 6: Final answer
    x = 726,997.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.