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Finding the Third Proportional to 180,432 and 408,097

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Solution

The third proportional to 180,432 and 408,097 is: 923,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,432 : 408,097 = 408,097 : x
  2. Step 2: Convert to fraction form
    180,432/408,097 = 408,097/x
  3. Step 3: Cross multiply
    180,432x = 408,097 × 408,097
  4. Step 4: Simplify right side
    180,432x = 166,543,161,409
  5. Step 5: Solve for x
    x = 166,543,161,409/180,432
  6. Step 6: Final answer
    x = 923,024.53

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.