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Finding the Third Proportional to 169,134 and 368,400

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Solution

The third proportional to 169,134 and 368,400 is: 802,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,134 : 368,400 = 368,400 : x
  2. Step 2: Convert to fraction form
    169,134/368,400 = 368,400/x
  3. Step 3: Cross multiply
    169,134x = 368,400 × 368,400
  4. Step 4: Simplify right side
    169,134x = 135,718,560,000
  5. Step 5: Solve for x
    x = 135,718,560,000/169,134
  6. Step 6: Final answer
    x = 802,432.15

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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.