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Finding the Third Proportional to 195,056 and 261,480

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Solution

The third proportional to 195,056 and 261,480 is: 350,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,056 : 261,480 = 261,480 : x
  2. Step 2: Convert to fraction form
    195,056/261,480 = 261,480/x
  3. Step 3: Cross multiply
    195,056x = 261,480 × 261,480
  4. Step 4: Simplify right side
    195,056x = 68,371,790,400
  5. Step 5: Solve for x
    x = 68,371,790,400/195,056
  6. Step 6: Final answer
    x = 350,523.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.