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Finding the Third Proportional to 175,546 and 342,334

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Solution

The third proportional to 175,546 and 342,334 is: 667,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,546 : 342,334 = 342,334 : x
  2. Step 2: Convert to fraction form
    175,546/342,334 = 342,334/x
  3. Step 3: Cross multiply
    175,546x = 342,334 × 342,334
  4. Step 4: Simplify right side
    175,546x = 117,192,567,556
  5. Step 5: Solve for x
    x = 117,192,567,556/175,546
  6. Step 6: Final answer
    x = 667,588.94

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.