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Finding the Third Proportional to 169,122 and 364,407

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Solution

The third proportional to 169,122 and 364,407 is: 785,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,122 : 364,407 = 364,407 : x
  2. Step 2: Convert to fraction form
    169,122/364,407 = 364,407/x
  3. Step 3: Cross multiply
    169,122x = 364,407 × 364,407
  4. Step 4: Simplify right side
    169,122x = 132,792,461,649
  5. Step 5: Solve for x
    x = 132,792,461,649/169,122
  6. Step 6: Final answer
    x = 785,187.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.