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Finding the Third Proportional to 171,712.50 and 377,682

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Solution

The third proportional to 171,712.50 and 377,682 is: 830,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,712.50 : 377,682 = 377,682 : x
  2. Step 2: Convert to fraction form
    171,712.50/377,682 = 377,682/x
  3. Step 3: Cross multiply
    171,712.50x = 377,682 × 377,682
  4. Step 4: Simplify right side
    171,712.50x = 142,643,693,124
  5. Step 5: Solve for x
    x = 142,643,693,124/171,712.50
  6. Step 6: Final answer
    x = 830,712.34

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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.