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Finding the Third Proportional to 180,938 and 250,023

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Solution

The third proportional to 180,938 and 250,023 is: 345,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,938 : 250,023 = 250,023 : x
  2. Step 2: Convert to fraction form
    180,938/250,023 = 250,023/x
  3. Step 3: Cross multiply
    180,938x = 250,023 × 250,023
  4. Step 4: Simplify right side
    180,938x = 62,511,500,529
  5. Step 5: Solve for x
    x = 62,511,500,529/180,938
  6. Step 6: Final answer
    x = 345,485.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.