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Finding the Third Proportional to 117,564 and 261,288

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Solution

The third proportional to 117,564 and 261,288 is: 580,717.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,564 : 261,288 = 261,288 : x
  2. Step 2: Convert to fraction form
    117,564/261,288 = 261,288/x
  3. Step 3: Cross multiply
    117,564x = 261,288 × 261,288
  4. Step 4: Simplify right side
    117,564x = 68,271,418,944
  5. Step 5: Solve for x
    x = 68,271,418,944/117,564
  6. Step 6: Final answer
    x = 580,717.05

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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.