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Finding the Third Proportional to 175,369 and 380,249

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Solution

The third proportional to 175,369 and 380,249 is: 824,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,369 : 380,249 = 380,249 : x
  2. Step 2: Convert to fraction form
    175,369/380,249 = 380,249/x
  3. Step 3: Cross multiply
    175,369x = 380,249 × 380,249
  4. Step 4: Simplify right side
    175,369x = 144,589,302,001
  5. Step 5: Solve for x
    x = 144,589,302,001/175,369
  6. Step 6: Final answer
    x = 824,486.10

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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.