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Finding the Third Proportional to 171,048 and 268,318.50

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Solution

The third proportional to 171,048 and 268,318.50 is: 420,904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,048 : 268,318.50 = 268,318.50 : x
  2. Step 2: Convert to fraction form
    171,048/268,318.50 = 268,318.50/x
  3. Step 3: Cross multiply
    171,048x = 268,318.50 × 268,318.50
  4. Step 4: Simplify right side
    171,048x = 71,994,817,442.25
  5. Step 5: Solve for x
    x = 71,994,817,442.25/171,048
  6. Step 6: Final answer
    x = 420,904.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.