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Finding the Third Proportional to 84,980 and 175,418

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Solution

The third proportional to 84,980 and 175,418 is: 362,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,980 : 175,418 = 175,418 : x
  2. Step 2: Convert to fraction form
    84,980/175,418 = 175,418/x
  3. Step 3: Cross multiply
    84,980x = 175,418 × 175,418
  4. Step 4: Simplify right side
    84,980x = 30,771,474,724
  5. Step 5: Solve for x
    x = 30,771,474,724/84,980
  6. Step 6: Final answer
    x = 362,102.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.