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Finding the Third Proportional to 164,134 and 353,378

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Solution

The third proportional to 164,134 and 353,378 is: 760,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,134 : 353,378 = 353,378 : x
  2. Step 2: Convert to fraction form
    164,134/353,378 = 353,378/x
  3. Step 3: Cross multiply
    164,134x = 353,378 × 353,378
  4. Step 4: Simplify right side
    164,134x = 124,876,010,884
  5. Step 5: Solve for x
    x = 124,876,010,884/164,134
  6. Step 6: Final answer
    x = 760,817.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.