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Finding the Third Proportional to 158,610 and 231,584

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Solution

The third proportional to 158,610 and 231,584 is: 338,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,610 : 231,584 = 231,584 : x
  2. Step 2: Convert to fraction form
    158,610/231,584 = 231,584/x
  3. Step 3: Cross multiply
    158,610x = 231,584 × 231,584
  4. Step 4: Simplify right side
    158,610x = 53,631,149,056
  5. Step 5: Solve for x
    x = 53,631,149,056/158,610
  6. Step 6: Final answer
    x = 338,132.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.