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Finding the Third Proportional to 175,250 and 380,025

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Solution

The third proportional to 175,250 and 380,025 is: 824,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,250 : 380,025 = 380,025 : x
  2. Step 2: Convert to fraction form
    175,250/380,025 = 380,025/x
  3. Step 3: Cross multiply
    175,250x = 380,025 × 380,025
  4. Step 4: Simplify right side
    175,250x = 144,419,000,625
  5. Step 5: Solve for x
    x = 144,419,000,625/175,250
  6. Step 6: Final answer
    x = 824,074.18

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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.