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Finding the Third Proportional to 174,355 and 269,418

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Solution

The third proportional to 174,355 and 269,418 is: 416,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,355 : 269,418 = 269,418 : x
  2. Step 2: Convert to fraction form
    174,355/269,418 = 269,418/x
  3. Step 3: Cross multiply
    174,355x = 269,418 × 269,418
  4. Step 4: Simplify right side
    174,355x = 72,586,058,724
  5. Step 5: Solve for x
    x = 72,586,058,724/174,355
  6. Step 6: Final answer
    x = 416,311.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.