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Finding the Third Proportional to 140,400.84 and 210,532.92

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Solution

The third proportional to 140,400.84 and 210,532.92 is: 315,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,400.84 : 210,532.92 = 210,532.92 : x
  2. Step 2: Convert to fraction form
    140,400.84/210,532.92 = 210,532.92/x
  3. Step 3: Cross multiply
    140,400.84x = 210,532.92 × 210,532.92
  4. Step 4: Simplify right side
    140,400.84x = 44,324,111,193.22
  5. Step 5: Solve for x
    x = 44,324,111,193.22/140,400.84
  6. Step 6: Final answer
    x = 315,696.90

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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.