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Finding the Third Proportional to 164,009.25 and 352,743.75

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Solution

The third proportional to 164,009.25 and 352,743.75 is: 758,665.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,009.25 : 352,743.75 = 352,743.75 : x
  2. Step 2: Convert to fraction form
    164,009.25/352,743.75 = 352,743.75/x
  3. Step 3: Cross multiply
    164,009.25x = 352,743.75 × 352,743.75
  4. Step 4: Simplify right side
    164,009.25x = 124,428,153,164.06
  5. Step 5: Solve for x
    x = 124,428,153,164.06/164,009.25
  6. Step 6: Final answer
    x = 758,665.46

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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.