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Finding the Third Proportional to 169,418 and 368,014

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Solution

The third proportional to 169,418 and 368,014 is: 799,409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,418 : 368,014 = 368,014 : x
  2. Step 2: Convert to fraction form
    169,418/368,014 = 368,014/x
  3. Step 3: Cross multiply
    169,418x = 368,014 × 368,014
  4. Step 4: Simplify right side
    169,418x = 135,434,304,196
  5. Step 5: Solve for x
    x = 135,434,304,196/169,418
  6. Step 6: Final answer
    x = 799,409.18

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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.