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Finding the Third Proportional to 101,590.50 and 233,644.50

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Solution

The third proportional to 101,590.50 and 233,644.50 is: 537,350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,590.50 : 233,644.50 = 233,644.50 : x
  2. Step 2: Convert to fraction form
    101,590.50/233,644.50 = 233,644.50/x
  3. Step 3: Cross multiply
    101,590.50x = 233,644.50 × 233,644.50
  4. Step 4: Simplify right side
    101,590.50x = 54,589,752,380.25
  5. Step 5: Solve for x
    x = 54,589,752,380.25/101,590.50
  6. Step 6: Final answer
    x = 537,350.96

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.