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Finding the Third Proportional to 177,633 and 346,275

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Solution

The third proportional to 177,633 and 346,275 is: 675,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,633 : 346,275 = 346,275 : x
  2. Step 2: Convert to fraction form
    177,633/346,275 = 346,275/x
  3. Step 3: Cross multiply
    177,633x = 346,275 × 346,275
  4. Step 4: Simplify right side
    177,633x = 119,906,375,625
  5. Step 5: Solve for x
    x = 119,906,375,625/177,633
  6. Step 6: Final answer
    x = 675,023.08

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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.