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Finding the Third Proportional to 162,591.75 and 231,090.75

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Solution

The third proportional to 162,591.75 and 231,090.75 is: 328,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,591.75 : 231,090.75 = 231,090.75 : x
  2. Step 2: Convert to fraction form
    162,591.75/231,090.75 = 231,090.75/x
  3. Step 3: Cross multiply
    162,591.75x = 231,090.75 × 231,090.75
  4. Step 4: Simplify right side
    162,591.75x = 53,402,934,735.56
  5. Step 5: Solve for x
    x = 53,402,934,735.56/162,591.75
  6. Step 6: Final answer
    x = 328,448.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.