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Finding the Third Proportional to 175,994 and 415,021

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Solution

The third proportional to 175,994 and 415,021 is: 978,683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,994 : 415,021 = 415,021 : x
  2. Step 2: Convert to fraction form
    175,994/415,021 = 415,021/x
  3. Step 3: Cross multiply
    175,994x = 415,021 × 415,021
  4. Step 4: Simplify right side
    175,994x = 172,242,430,441
  5. Step 5: Solve for x
    x = 172,242,430,441/175,994
  6. Step 6: Final answer
    x = 978,683.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.