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Finding the Third Proportional to 166,065 and 264,370.50

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Solution

The third proportional to 166,065 and 264,370.50 is: 420,869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,065 : 264,370.50 = 264,370.50 : x
  2. Step 2: Convert to fraction form
    166,065/264,370.50 = 264,370.50/x
  3. Step 3: Cross multiply
    166,065x = 264,370.50 × 264,370.50
  4. Step 4: Simplify right side
    166,065x = 69,891,761,270.25
  5. Step 5: Solve for x
    x = 69,891,761,270.25/166,065
  6. Step 6: Final answer
    x = 420,869.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.