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Finding the Third Proportional to 161,696.63 and 340,149.56

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Solution

The third proportional to 161,696.63 and 340,149.56 is: 715,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,696.63 : 340,149.56 = 340,149.56 : x
  2. Step 2: Convert to fraction form
    161,696.63/340,149.56 = 340,149.56/x
  3. Step 3: Cross multiply
    161,696.63x = 340,149.56 × 340,149.56
  4. Step 4: Simplify right side
    161,696.63x = 115,701,724,868.94
  5. Step 5: Solve for x
    x = 115,701,724,868.94/161,696.63
  6. Step 6: Final answer
    x = 715,548.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.