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Finding the Third Proportional to 119,644.88 and 261,023.63

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Solution

The third proportional to 119,644.88 and 261,023.63 is: 569,463.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,644.88 : 261,023.63 = 261,023.63 : x
  2. Step 2: Convert to fraction form
    119,644.88/261,023.63 = 261,023.63/x
  3. Step 3: Cross multiply
    119,644.88x = 261,023.63 × 261,023.63
  4. Step 4: Simplify right side
    119,644.88x = 68,133,332,808.14
  5. Step 5: Solve for x
    x = 68,133,332,808.14/119,644.88
  6. Step 6: Final answer
    x = 569,463.03

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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.