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Finding the Third Proportional to 140,292.50 and 210,600.75

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Solution

The third proportional to 140,292.50 and 210,600.75 is: 316,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,292.50 : 210,600.75 = 210,600.75 : x
  2. Step 2: Convert to fraction form
    140,292.50/210,600.75 = 210,600.75/x
  3. Step 3: Cross multiply
    140,292.50x = 210,600.75 × 210,600.75
  4. Step 4: Simplify right side
    140,292.50x = 44,352,675,900.56
  5. Step 5: Solve for x
    x = 44,352,675,900.56/140,292.50
  6. Step 6: Final answer
    x = 316,144.31

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Why These Related Problems?

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