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Finding the Third Proportional to 195,513 and 292,404

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Solution

The third proportional to 195,513 and 292,404 is: 437,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,513 : 292,404 = 292,404 : x
  2. Step 2: Convert to fraction form
    195,513/292,404 = 292,404/x
  3. Step 3: Cross multiply
    195,513x = 292,404 × 292,404
  4. Step 4: Simplify right side
    195,513x = 85,500,099,216
  5. Step 5: Solve for x
    x = 85,500,099,216/195,513
  6. Step 6: Final answer
    x = 437,311.58

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