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Finding the Third Proportional to 145,567.88 and 231,474

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Solution

The third proportional to 145,567.88 and 231,474 is: 368,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,567.88 : 231,474 = 231,474 : x
  2. Step 2: Convert to fraction form
    145,567.88/231,474 = 231,474/x
  3. Step 3: Cross multiply
    145,567.88x = 231,474 × 231,474
  4. Step 4: Simplify right side
    145,567.88x = 53,580,212,676
  5. Step 5: Solve for x
    x = 53,580,212,676/145,567.88
  6. Step 6: Final answer
    x = 368,077.18

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.