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Finding the Third Proportional to 174,782 and 262,082

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Solution

The third proportional to 174,782 and 262,082 is: 392,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,782 : 262,082 = 262,082 : x
  2. Step 2: Convert to fraction form
    174,782/262,082 = 262,082/x
  3. Step 3: Cross multiply
    174,782x = 262,082 × 262,082
  4. Step 4: Simplify right side
    174,782x = 68,686,974,724
  5. Step 5: Solve for x
    x = 68,686,974,724/174,782
  6. Step 6: Final answer
    x = 392,986.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.