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Finding the Third Proportional to 163,828.50 and 352,786.50

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Solution

The third proportional to 163,828.50 and 352,786.50 is: 759,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,828.50 : 352,786.50 = 352,786.50 : x
  2. Step 2: Convert to fraction form
    163,828.50/352,786.50 = 352,786.50/x
  3. Step 3: Cross multiply
    163,828.50x = 352,786.50 × 352,786.50
  4. Step 4: Simplify right side
    163,828.50x = 124,458,314,582.25
  5. Step 5: Solve for x
    x = 124,458,314,582.25/163,828.50
  6. Step 6: Final answer
    x = 759,686.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.