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Finding the Third Proportional to 91,894.50 and 247,333.50

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Solution

The third proportional to 91,894.50 and 247,333.50 is: 665,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,894.50 : 247,333.50 = 247,333.50 : x
  2. Step 2: Convert to fraction form
    91,894.50/247,333.50 = 247,333.50/x
  3. Step 3: Cross multiply
    91,894.50x = 247,333.50 × 247,333.50
  4. Step 4: Simplify right side
    91,894.50x = 61,173,860,222.25
  5. Step 5: Solve for x
    x = 61,173,860,222.25/91,894.50
  6. Step 6: Final answer
    x = 665,696.64

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.