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Finding the Third Proportional to 163,844 and 344,176

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Solution

The third proportional to 163,844 and 344,176 is: 722,987.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,844 : 344,176 = 344,176 : x
  2. Step 2: Convert to fraction form
    163,844/344,176 = 344,176/x
  3. Step 3: Cross multiply
    163,844x = 344,176 × 344,176
  4. Step 4: Simplify right side
    163,844x = 118,457,118,976
  5. Step 5: Solve for x
    x = 118,457,118,976/163,844
  6. Step 6: Final answer
    x = 722,987.23

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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.