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Finding the Third Proportional to 164,578.50 and 223,537.50

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Solution

The third proportional to 164,578.50 and 223,537.50 is: 303,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,578.50 : 223,537.50 = 223,537.50 : x
  2. Step 2: Convert to fraction form
    164,578.50/223,537.50 = 223,537.50/x
  3. Step 3: Cross multiply
    164,578.50x = 223,537.50 × 223,537.50
  4. Step 4: Simplify right side
    164,578.50x = 49,969,013,906.25
  5. Step 5: Solve for x
    x = 49,969,013,906.25/164,578.50
  6. Step 6: Final answer
    x = 303,618.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.