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Finding the Third Proportional to 175,816.50 and 377,847

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Solution

The third proportional to 175,816.50 and 377,847 is: 812,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,816.50 : 377,847 = 377,847 : x
  2. Step 2: Convert to fraction form
    175,816.50/377,847 = 377,847/x
  3. Step 3: Cross multiply
    175,816.50x = 377,847 × 377,847
  4. Step 4: Simplify right side
    175,816.50x = 142,768,355,409
  5. Step 5: Solve for x
    x = 142,768,355,409/175,816.50
  6. Step 6: Final answer
    x = 812,030.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.