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Finding the Third Proportional to 163,459 and 225,099

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Solution

The third proportional to 163,459 and 225,099 is: 309,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,459 : 225,099 = 225,099 : x
  2. Step 2: Convert to fraction form
    163,459/225,099 = 225,099/x
  3. Step 3: Cross multiply
    163,459x = 225,099 × 225,099
  4. Step 4: Simplify right side
    163,459x = 50,669,559,801
  5. Step 5: Solve for x
    x = 50,669,559,801/163,459
  6. Step 6: Final answer
    x = 309,983.30

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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.