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Finding the Third Proportional to 191,139 and 446,408.25

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Solution

The third proportional to 191,139 and 446,408.25 is: 1,042,593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,139 : 446,408.25 = 446,408.25 : x
  2. Step 2: Convert to fraction form
    191,139/446,408.25 = 446,408.25/x
  3. Step 3: Cross multiply
    191,139x = 446,408.25 × 446,408.25
  4. Step 4: Simplify right side
    191,139x = 199,280,325,668.06
  5. Step 5: Solve for x
    x = 199,280,325,668.06/191,139
  6. Step 6: Final answer
    x = 1,042,593.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.