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Finding the Third Proportional to 163,725 and 356,601

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Solution

The third proportional to 163,725 and 356,601 is: 776,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,725 : 356,601 = 356,601 : x
  2. Step 2: Convert to fraction form
    163,725/356,601 = 356,601/x
  3. Step 3: Cross multiply
    163,725x = 356,601 × 356,601
  4. Step 4: Simplify right side
    163,725x = 127,164,273,201
  5. Step 5: Solve for x
    x = 127,164,273,201/163,725
  6. Step 6: Final answer
    x = 776,694.29

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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.