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Finding the Third Proportional to 171,958.50 and 377,541

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Solution

The third proportional to 171,958.50 and 377,541 is: 828,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,958.50 : 377,541 = 377,541 : x
  2. Step 2: Convert to fraction form
    171,958.50/377,541 = 377,541/x
  3. Step 3: Cross multiply
    171,958.50x = 377,541 × 377,541
  4. Step 4: Simplify right side
    171,958.50x = 142,537,206,681
  5. Step 5: Solve for x
    x = 142,537,206,681/171,958.50
  6. Step 6: Final answer
    x = 828,904.69

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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.