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Finding the Third Proportional to 155,462 and 341,380

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Solution

The third proportional to 155,462 and 341,380 is: 749,638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,462 : 341,380 = 341,380 : x
  2. Step 2: Convert to fraction form
    155,462/341,380 = 341,380/x
  3. Step 3: Cross multiply
    155,462x = 341,380 × 341,380
  4. Step 4: Simplify right side
    155,462x = 116,540,304,400
  5. Step 5: Solve for x
    x = 116,540,304,400/155,462
  6. Step 6: Final answer
    x = 749,638.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.