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Finding the Third Proportional to 175,041 and 422,010

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Solution

The third proportional to 175,041 and 422,010 is: 1,017,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,041 : 422,010 = 422,010 : x
  2. Step 2: Convert to fraction form
    175,041/422,010 = 422,010/x
  3. Step 3: Cross multiply
    175,041x = 422,010 × 422,010
  4. Step 4: Simplify right side
    175,041x = 178,092,440,100
  5. Step 5: Solve for x
    x = 178,092,440,100/175,041
  6. Step 6: Final answer
    x = 1,017,432.72

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.