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Finding the Third Proportional to 169,584 and 368,304

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Solution

The third proportional to 169,584 and 368,304 is: 799,885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,584 : 368,304 = 368,304 : x
  2. Step 2: Convert to fraction form
    169,584/368,304 = 368,304/x
  3. Step 3: Cross multiply
    169,584x = 368,304 × 368,304
  4. Step 4: Simplify right side
    169,584x = 135,647,836,416
  5. Step 5: Solve for x
    x = 135,647,836,416/169,584
  6. Step 6: Final answer
    x = 799,885.82

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