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Finding the Third Proportional to 155,832 and 341,328

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Solution

The third proportional to 155,832 and 341,328 is: 747,630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,832 : 341,328 = 341,328 : x
  2. Step 2: Convert to fraction form
    155,832/341,328 = 341,328/x
  3. Step 3: Cross multiply
    155,832x = 341,328 × 341,328
  4. Step 4: Simplify right side
    155,832x = 116,504,803,584
  5. Step 5: Solve for x
    x = 116,504,803,584/155,832
  6. Step 6: Final answer
    x = 747,630.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.