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Finding the Third Proportional to 180,940 and 250,026

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Solution

The third proportional to 180,940 and 250,026 is: 345,490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,940 : 250,026 = 250,026 : x
  2. Step 2: Convert to fraction form
    180,940/250,026 = 250,026/x
  3. Step 3: Cross multiply
    180,940x = 250,026 × 250,026
  4. Step 4: Simplify right side
    180,940x = 62,513,000,676
  5. Step 5: Solve for x
    x = 62,513,000,676/180,940
  6. Step 6: Final answer
    x = 345,490.22

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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.