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Finding the Third Proportional to 193,868 and 261,868

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Solution

The third proportional to 193,868 and 261,868 is: 353,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,868 : 261,868 = 261,868 : x
  2. Step 2: Convert to fraction form
    193,868/261,868 = 261,868/x
  3. Step 3: Cross multiply
    193,868x = 261,868 × 261,868
  4. Step 4: Simplify right side
    193,868x = 68,574,849,424
  5. Step 5: Solve for x
    x = 68,574,849,424/193,868
  6. Step 6: Final answer
    x = 353,719.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.