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Finding the Third Proportional to 180,080 and 416,900

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Solution

The third proportional to 180,080 and 416,900 is: 965,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,080 : 416,900 = 416,900 : x
  2. Step 2: Convert to fraction form
    180,080/416,900 = 416,900/x
  3. Step 3: Cross multiply
    180,080x = 416,900 × 416,900
  4. Step 4: Simplify right side
    180,080x = 173,805,610,000
  5. Step 5: Solve for x
    x = 173,805,610,000/180,080
  6. Step 6: Final answer
    x = 965,157.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.