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Finding the Third Proportional to 117,419.63 and 261,732.38

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Solution

The third proportional to 117,419.63 and 261,732.38 is: 583,410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,419.63 : 261,732.38 = 261,732.38 : x
  2. Step 2: Convert to fraction form
    117,419.63/261,732.38 = 261,732.38/x
  3. Step 3: Cross multiply
    117,419.63x = 261,732.38 × 261,732.38
  4. Step 4: Simplify right side
    117,419.63x = 68,503,836,123.14
  5. Step 5: Solve for x
    x = 68,503,836,123.14/117,419.63
  6. Step 6: Final answer
    x = 583,410.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.