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Finding the Third Proportional to 161,708.25 and 340,173

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Solution

The third proportional to 161,708.25 and 340,173 is: 715,595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,708.25 : 340,173 = 340,173 : x
  2. Step 2: Convert to fraction form
    161,708.25/340,173 = 340,173/x
  3. Step 3: Cross multiply
    161,708.25x = 340,173 × 340,173
  4. Step 4: Simplify right side
    161,708.25x = 115,717,669,929
  5. Step 5: Solve for x
    x = 115,717,669,929/161,708.25
  6. Step 6: Final answer
    x = 715,595.34

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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.