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Finding the Third Proportional to 175,419 and 380,484

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Solution

The third proportional to 175,419 and 380,484 is: 825,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,419 : 380,484 = 380,484 : x
  2. Step 2: Convert to fraction form
    175,419/380,484 = 380,484/x
  3. Step 3: Cross multiply
    175,419x = 380,484 × 380,484
  4. Step 4: Simplify right side
    175,419x = 144,768,074,256
  5. Step 5: Solve for x
    x = 144,768,074,256/175,419
  6. Step 6: Final answer
    x = 825,270.21

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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.