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Finding the Third Proportional to 1,204.88 and 1,930.78

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Solution

The third proportional to 1,204.88 and 1,930.78 is: 3,094.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.88 : 1,930.78 = 1,930.78 : x
  2. Step 2: Convert to fraction form
    1,204.88/1,930.78 = 1,930.78/x
  3. Step 3: Cross multiply
    1,204.88x = 1,930.78 × 1,930.78
  4. Step 4: Simplify right side
    1,204.88x = 3,727,916.24
  5. Step 5: Solve for x
    x = 3,727,916.24/1,204.88
  6. Step 6: Final answer
    x = 3,094.03

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.