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Finding the Third Proportional to 201,179.25 and 435,027.38

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Solution

The third proportional to 201,179.25 and 435,027.38 is: 940,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,179.25 : 435,027.38 = 435,027.38 : x
  2. Step 2: Convert to fraction form
    201,179.25/435,027.38 = 435,027.38/x
  3. Step 3: Cross multiply
    201,179.25x = 435,027.38 × 435,027.38
  4. Step 4: Simplify right side
    201,179.25x = 189,248,816,999.39
  5. Step 5: Solve for x
    x = 189,248,816,999.39/201,179.25
  6. Step 6: Final answer
    x = 940,697.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.