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Finding the Third Proportional to 164,904 and 265,512

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Solution

The third proportional to 164,904 and 265,512 is: 427,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,904 : 265,512 = 265,512 : x
  2. Step 2: Convert to fraction form
    164,904/265,512 = 265,512/x
  3. Step 3: Cross multiply
    164,904x = 265,512 × 265,512
  4. Step 4: Simplify right side
    164,904x = 70,496,622,144
  5. Step 5: Solve for x
    x = 70,496,622,144/164,904
  6. Step 6: Final answer
    x = 427,500.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.