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Finding the Third Proportional to 145,813 and 225,173

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Solution

The third proportional to 145,813 and 225,173 is: 347,725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,813 : 225,173 = 225,173 : x
  2. Step 2: Convert to fraction form
    145,813/225,173 = 225,173/x
  3. Step 3: Cross multiply
    145,813x = 225,173 × 225,173
  4. Step 4: Simplify right side
    145,813x = 50,702,879,929
  5. Step 5: Solve for x
    x = 50,702,879,929/145,813
  6. Step 6: Final answer
    x = 347,725.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.