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Finding the Third Proportional to 175,064 and 422,060

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Solution

The third proportional to 175,064 and 422,060 is: 1,017,540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,064 : 422,060 = 422,060 : x
  2. Step 2: Convert to fraction form
    175,064/422,060 = 422,060/x
  3. Step 3: Cross multiply
    175,064x = 422,060 × 422,060
  4. Step 4: Simplify right side
    175,064x = 178,134,643,600
  5. Step 5: Solve for x
    x = 178,134,643,600/175,064
  6. Step 6: Final answer
    x = 1,017,540.12

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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.