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Finding the Third Proportional to 180,232 and 269,700

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Solution

The third proportional to 180,232 and 269,700 is: 403,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,232 : 269,700 = 269,700 : x
  2. Step 2: Convert to fraction form
    180,232/269,700 = 269,700/x
  3. Step 3: Cross multiply
    180,232x = 269,700 × 269,700
  4. Step 4: Simplify right side
    180,232x = 72,738,090,000
  5. Step 5: Solve for x
    x = 72,738,090,000/180,232
  6. Step 6: Final answer
    x = 403,580.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.