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Finding the Third Proportional to 163,497 and 225,153

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Solution

The third proportional to 163,497 and 225,153 is: 310,059.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,497 : 225,153 = 225,153 : x
  2. Step 2: Convert to fraction form
    163,497/225,153 = 225,153/x
  3. Step 3: Cross multiply
    163,497x = 225,153 × 225,153
  4. Step 4: Simplify right side
    163,497x = 50,693,873,409
  5. Step 5: Solve for x
    x = 50,693,873,409/163,497
  6. Step 6: Final answer
    x = 310,059.96

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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.