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Finding the Third Proportional to 201,173.63 and 435,015.56

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Solution

The third proportional to 201,173.63 and 435,015.56 is: 940,672.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,173.63 : 435,015.56 = 435,015.56 : x
  2. Step 2: Convert to fraction form
    201,173.63/435,015.56 = 435,015.56/x
  3. Step 3: Cross multiply
    201,173.63x = 435,015.56 × 435,015.56
  4. Step 4: Simplify right side
    201,173.63x = 189,238,539,617.19
  5. Step 5: Solve for x
    x = 189,238,539,617.19/201,173.63
  6. Step 6: Final answer
    x = 940,672.71

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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.