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Finding the Third Proportional to 117,942 and 249,198

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Solution

The third proportional to 117,942 and 249,198 is: 526,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,942 : 249,198 = 249,198 : x
  2. Step 2: Convert to fraction form
    117,942/249,198 = 249,198/x
  3. Step 3: Cross multiply
    117,942x = 249,198 × 249,198
  4. Step 4: Simplify right side
    117,942x = 62,099,643,204
  5. Step 5: Solve for x
    x = 62,099,643,204/117,942
  6. Step 6: Final answer
    x = 526,526.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.