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Finding the Third Proportional to 191,000 and 415,984

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Solution

The third proportional to 191,000 and 415,984 is: 905,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,000 : 415,984 = 415,984 : x
  2. Step 2: Convert to fraction form
    191,000/415,984 = 415,984/x
  3. Step 3: Cross multiply
    191,000x = 415,984 × 415,984
  4. Step 4: Simplify right side
    191,000x = 173,042,688,256
  5. Step 5: Solve for x
    x = 173,042,688,256/191,000
  6. Step 6: Final answer
    x = 905,982.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.