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Finding the Third Proportional to 193,053 and 425,400

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Solution

The third proportional to 193,053 and 425,400 is: 937,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,053 : 425,400 = 425,400 : x
  2. Step 2: Convert to fraction form
    193,053/425,400 = 425,400/x
  3. Step 3: Cross multiply
    193,053x = 425,400 × 425,400
  4. Step 4: Simplify right side
    193,053x = 180,965,160,000
  5. Step 5: Solve for x
    x = 180,965,160,000/193,053
  6. Step 6: Final answer
    x = 937,385.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.