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Finding the Third Proportional to 151,641 and 231,133.50

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Solution

The third proportional to 151,641 and 231,133.50 is: 352,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,641 : 231,133.50 = 231,133.50 : x
  2. Step 2: Convert to fraction form
    151,641/231,133.50 = 231,133.50/x
  3. Step 3: Cross multiply
    151,641x = 231,133.50 × 231,133.50
  4. Step 4: Simplify right side
    151,641x = 53,422,694,822.25
  5. Step 5: Solve for x
    x = 53,422,694,822.25/151,641
  6. Step 6: Final answer
    x = 352,297.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.