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Finding the Third Proportional to 192,132.84 and 410,867.86

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Solution

The third proportional to 192,132.84 and 410,867.86 is: 878,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,132.84 : 410,867.86 = 410,867.86 : x
  2. Step 2: Convert to fraction form
    192,132.84/410,867.86 = 410,867.86/x
  3. Step 3: Cross multiply
    192,132.84x = 410,867.86 × 410,867.86
  4. Step 4: Simplify right side
    192,132.84x = 168,812,397,867.40
  5. Step 5: Solve for x
    x = 168,812,397,867.40/192,132.84
  6. Step 6: Final answer
    x = 878,623.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.