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Finding the Third Proportional to 119,647 and 261,028

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Solution

The third proportional to 119,647 and 261,028 is: 569,472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,647 : 261,028 = 261,028 : x
  2. Step 2: Convert to fraction form
    119,647/261,028 = 261,028/x
  3. Step 3: Cross multiply
    119,647x = 261,028 × 261,028
  4. Step 4: Simplify right side
    119,647x = 68,135,616,784
  5. Step 5: Solve for x
    x = 68,135,616,784/119,647
  6. Step 6: Final answer
    x = 569,472.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.