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Finding the Third Proportional to 179,398.50 and 377,385

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Solution

The third proportional to 179,398.50 and 377,385 is: 793,871.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,398.50 : 377,385 = 377,385 : x
  2. Step 2: Convert to fraction form
    179,398.50/377,385 = 377,385/x
  3. Step 3: Cross multiply
    179,398.50x = 377,385 × 377,385
  4. Step 4: Simplify right side
    179,398.50x = 142,419,438,225
  5. Step 5: Solve for x
    x = 142,419,438,225/179,398.50
  6. Step 6: Final answer
    x = 793,871.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.