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Finding the Third Proportional to 191,682 and 415,944

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Solution

The third proportional to 191,682 and 415,944 is: 902,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,682 : 415,944 = 415,944 : x
  2. Step 2: Convert to fraction form
    191,682/415,944 = 415,944/x
  3. Step 3: Cross multiply
    191,682x = 415,944 × 415,944
  4. Step 4: Simplify right side
    191,682x = 173,009,411,136
  5. Step 5: Solve for x
    x = 173,009,411,136/191,682
  6. Step 6: Final answer
    x = 902,585.59

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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.