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Finding the Third Proportional to 169,804 and 369,094

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Solution

The third proportional to 169,804 and 369,094 is: 802,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,804 : 369,094 = 369,094 : x
  2. Step 2: Convert to fraction form
    169,804/369,094 = 369,094/x
  3. Step 3: Cross multiply
    169,804x = 369,094 × 369,094
  4. Step 4: Simplify right side
    169,804x = 136,230,380,836
  5. Step 5: Solve for x
    x = 136,230,380,836/169,804
  6. Step 6: Final answer
    x = 802,280.16

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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.