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Finding the Third Proportional to 175,252 and 380,029

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Solution

The third proportional to 175,252 and 380,029 is: 824,082.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,252 : 380,029 = 380,029 : x
  2. Step 2: Convert to fraction form
    175,252/380,029 = 380,029/x
  3. Step 3: Cross multiply
    175,252x = 380,029 × 380,029
  4. Step 4: Simplify right side
    175,252x = 144,422,040,841
  5. Step 5: Solve for x
    x = 144,422,040,841/175,252
  6. Step 6: Final answer
    x = 824,082.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.