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Finding the Third Proportional to 189,724.50 and 404,028

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Solution

The third proportional to 189,724.50 and 404,028 is: 860,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,724.50 : 404,028 = 404,028 : x
  2. Step 2: Convert to fraction form
    189,724.50/404,028 = 404,028/x
  3. Step 3: Cross multiply
    189,724.50x = 404,028 × 404,028
  4. Step 4: Simplify right side
    189,724.50x = 163,238,624,784
  5. Step 5: Solve for x
    x = 163,238,624,784/189,724.50
  6. Step 6: Final answer
    x = 860,398.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.