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Finding the Third Proportional to 180,485 and 264,571.50

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Solution

The third proportional to 180,485 and 264,571.50 is: 387,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,485 : 264,571.50 = 264,571.50 : x
  2. Step 2: Convert to fraction form
    180,485/264,571.50 = 264,571.50/x
  3. Step 3: Cross multiply
    180,485x = 264,571.50 × 264,571.50
  4. Step 4: Simplify right side
    180,485x = 69,998,078,612.25
  5. Step 5: Solve for x
    x = 69,998,078,612.25/180,485
  6. Step 6: Final answer
    x = 387,833.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.