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Finding the Third Proportional to 166,843.50 and 359,934

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Solution

The third proportional to 166,843.50 and 359,934 is: 776,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,843.50 : 359,934 = 359,934 : x
  2. Step 2: Convert to fraction form
    166,843.50/359,934 = 359,934/x
  3. Step 3: Cross multiply
    166,843.50x = 359,934 × 359,934
  4. Step 4: Simplify right side
    166,843.50x = 129,552,484,356
  5. Step 5: Solve for x
    x = 129,552,484,356/166,843.50
  6. Step 6: Final answer
    x = 776,491.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.