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Finding the Third Proportional to 155,569 and 341,269

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Solution

The third proportional to 155,569 and 341,269 is: 748,635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,569 : 341,269 = 341,269 : x
  2. Step 2: Convert to fraction form
    155,569/341,269 = 341,269/x
  3. Step 3: Cross multiply
    155,569x = 341,269 × 341,269
  4. Step 4: Simplify right side
    155,569x = 116,464,530,361
  5. Step 5: Solve for x
    x = 116,464,530,361/155,569
  6. Step 6: Final answer
    x = 748,635.85

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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.