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Finding the Third Proportional to 175,236 and 367,980

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Solution

The third proportional to 175,236 and 367,980 is: 772,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,236 : 367,980 = 367,980 : x
  2. Step 2: Convert to fraction form
    175,236/367,980 = 367,980/x
  3. Step 3: Cross multiply
    175,236x = 367,980 × 367,980
  4. Step 4: Simplify right side
    175,236x = 135,409,280,400
  5. Step 5: Solve for x
    x = 135,409,280,400/175,236
  6. Step 6: Final answer
    x = 772,725.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.