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Finding the Third Proportional to 175,337 and 380,563

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Solution

The third proportional to 175,337 and 380,563 is: 825,999.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,337 : 380,563 = 380,563 : x
  2. Step 2: Convert to fraction form
    175,337/380,563 = 380,563/x
  3. Step 3: Cross multiply
    175,337x = 380,563 × 380,563
  4. Step 4: Simplify right side
    175,337x = 144,828,196,969
  5. Step 5: Solve for x
    x = 144,828,196,969/175,337
  6. Step 6: Final answer
    x = 825,999.06

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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.