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Finding the Third Proportional to 164,128 and 253,568

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Solution

The third proportional to 164,128 and 253,568 is: 391,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,128 : 253,568 = 253,568 : x
  2. Step 2: Convert to fraction form
    164,128/253,568 = 253,568/x
  3. Step 3: Cross multiply
    164,128x = 253,568 × 253,568
  4. Step 4: Simplify right side
    164,128x = 64,296,730,624
  5. Step 5: Solve for x
    x = 64,296,730,624/164,128
  6. Step 6: Final answer
    x = 391,747.48

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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.