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Finding the Third Proportional to 117,699 and 261,551

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Solution

The third proportional to 117,699 and 261,551 is: 581,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,699 : 261,551 = 261,551 : x
  2. Step 2: Convert to fraction form
    117,699/261,551 = 261,551/x
  3. Step 3: Cross multiply
    117,699x = 261,551 × 261,551
  4. Step 4: Simplify right side
    117,699x = 68,408,925,601
  5. Step 5: Solve for x
    x = 68,408,925,601/117,699
  6. Step 6: Final answer
    x = 581,219.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.