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Finding the Third Proportional to 169,216 and 366,728

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Solution

The third proportional to 169,216 and 366,728 is: 794,779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,216 : 366,728 = 366,728 : x
  2. Step 2: Convert to fraction form
    169,216/366,728 = 366,728/x
  3. Step 3: Cross multiply
    169,216x = 366,728 × 366,728
  4. Step 4: Simplify right side
    169,216x = 134,489,425,984
  5. Step 5: Solve for x
    x = 134,489,425,984/169,216
  6. Step 6: Final answer
    x = 794,779.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.