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Finding the Third Proportional to 193,294.50 and 392,025

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Solution

The third proportional to 193,294.50 and 392,025 is: 795,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,294.50 : 392,025 = 392,025 : x
  2. Step 2: Convert to fraction form
    193,294.50/392,025 = 392,025/x
  3. Step 3: Cross multiply
    193,294.50x = 392,025 × 392,025
  4. Step 4: Simplify right side
    193,294.50x = 153,683,600,625
  5. Step 5: Solve for x
    x = 153,683,600,625/193,294.50
  6. Step 6: Final answer
    x = 795,074.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.