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Finding the Third Proportional to 146,817.56 and 233,348.34

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Solution

The third proportional to 146,817.56 and 233,348.34 is: 370,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,817.56 : 233,348.34 = 233,348.34 : x
  2. Step 2: Convert to fraction form
    146,817.56/233,348.34 = 233,348.34/x
  3. Step 3: Cross multiply
    146,817.56x = 233,348.34 × 233,348.34
  4. Step 4: Simplify right side
    146,817.56x = 54,451,449,530.87
  5. Step 5: Solve for x
    x = 54,451,449,530.87/146,817.56
  6. Step 6: Final answer
    x = 370,878.31

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Why These Related Problems?

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