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Finding the Third Proportional to 191,684 and 415,948

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Solution

The third proportional to 191,684 and 415,948 is: 902,593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,684 : 415,948 = 415,948 : x
  2. Step 2: Convert to fraction form
    191,684/415,948 = 415,948/x
  3. Step 3: Cross multiply
    191,684x = 415,948 × 415,948
  4. Step 4: Simplify right side
    191,684x = 173,012,738,704
  5. Step 5: Solve for x
    x = 173,012,738,704/191,684
  6. Step 6: Final answer
    x = 902,593.53

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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.