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Finding the Third Proportional to 171,406.50 and 369,153

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Solution

The third proportional to 171,406.50 and 369,153 is: 795,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,406.50 : 369,153 = 369,153 : x
  2. Step 2: Convert to fraction form
    171,406.50/369,153 = 369,153/x
  3. Step 3: Cross multiply
    171,406.50x = 369,153 × 369,153
  4. Step 4: Simplify right side
    171,406.50x = 136,273,937,409
  5. Step 5: Solve for x
    x = 136,273,937,409/171,406.50
  6. Step 6: Final answer
    x = 795,033.66

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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.