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Finding the Third Proportional to 65,880.84 and 155,366.86

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Solution

The third proportional to 65,880.84 and 155,366.86 is: 366,401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,880.84 : 155,366.86 = 155,366.86 : x
  2. Step 2: Convert to fraction form
    65,880.84/155,366.86 = 155,366.86/x
  3. Step 3: Cross multiply
    65,880.84x = 155,366.86 × 155,366.86
  4. Step 4: Simplify right side
    65,880.84x = 24,138,860,992.05
  5. Step 5: Solve for x
    x = 24,138,860,992.05/65,880.84
  6. Step 6: Final answer
    x = 366,401.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.