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Finding the Third Proportional to 189,880 and 404,300

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Solution

The third proportional to 189,880 and 404,300 is: 860,851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,880 : 404,300 = 404,300 : x
  2. Step 2: Convert to fraction form
    189,880/404,300 = 404,300/x
  3. Step 3: Cross multiply
    189,880x = 404,300 × 404,300
  4. Step 4: Simplify right side
    189,880x = 163,458,490,000
  5. Step 5: Solve for x
    x = 163,458,490,000/189,880
  6. Step 6: Final answer
    x = 860,851.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.