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Finding the Third Proportional to 155,650.36 and 233,476.17

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Solution

The third proportional to 155,650.36 and 233,476.17 is: 350,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,650.36 : 233,476.17 = 233,476.17 : x
  2. Step 2: Convert to fraction form
    155,650.36/233,476.17 = 233,476.17/x
  3. Step 3: Cross multiply
    155,650.36x = 233,476.17 × 233,476.17
  4. Step 4: Simplify right side
    155,650.36x = 54,511,122,833.40
  5. Step 5: Solve for x
    x = 54,511,122,833.40/155,650.36
  6. Step 6: Final answer
    x = 350,215.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.