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Finding the Third Proportional to 201,112.88 and 269,365.50

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Solution

The third proportional to 201,112.88 and 269,365.50 is: 360,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,112.88 : 269,365.50 = 269,365.50 : x
  2. Step 2: Convert to fraction form
    201,112.88/269,365.50 = 269,365.50/x
  3. Step 3: Cross multiply
    201,112.88x = 269,365.50 × 269,365.50
  4. Step 4: Simplify right side
    201,112.88x = 72,557,772,590.25
  5. Step 5: Solve for x
    x = 72,557,772,590.25/201,112.88
  6. Step 6: Final answer
    x = 360,781.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.