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Finding the Third Proportional to 163,456 and 225,095

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Solution

The third proportional to 163,456 and 225,095 is: 309,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,456 : 225,095 = 225,095 : x
  2. Step 2: Convert to fraction form
    163,456/225,095 = 225,095/x
  3. Step 3: Cross multiply
    163,456x = 225,095 × 225,095
  4. Step 4: Simplify right side
    163,456x = 50,667,759,025
  5. Step 5: Solve for x
    x = 50,667,759,025/163,456
  6. Step 6: Final answer
    x = 309,977.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.