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Finding the Third Proportional to 183,951 and 263,533.50

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Solution

The third proportional to 183,951 and 263,533.50 is: 377,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,951 : 263,533.50 = 263,533.50 : x
  2. Step 2: Convert to fraction form
    183,951/263,533.50 = 263,533.50/x
  3. Step 3: Cross multiply
    183,951x = 263,533.50 × 263,533.50
  4. Step 4: Simplify right side
    183,951x = 69,449,905,622.25
  5. Step 5: Solve for x
    x = 69,449,905,622.25/183,951
  6. Step 6: Final answer
    x = 377,545.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.