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Finding the Third Proportional to 168,122 and 365,798

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Solution

The third proportional to 168,122 and 365,798 is: 795,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,122 : 365,798 = 365,798 : x
  2. Step 2: Convert to fraction form
    168,122/365,798 = 365,798/x
  3. Step 3: Cross multiply
    168,122x = 365,798 × 365,798
  4. Step 4: Simplify right side
    168,122x = 133,808,176,804
  5. Step 5: Solve for x
    x = 133,808,176,804/168,122
  6. Step 6: Final answer
    x = 795,899.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.