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Finding the Third Proportional to 191,064 and 404,885

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Solution

The third proportional to 191,064 and 404,885 is: 857,994.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,064 : 404,885 = 404,885 : x
  2. Step 2: Convert to fraction form
    191,064/404,885 = 404,885/x
  3. Step 3: Cross multiply
    191,064x = 404,885 × 404,885
  4. Step 4: Simplify right side
    191,064x = 163,931,863,225
  5. Step 5: Solve for x
    x = 163,931,863,225/191,064
  6. Step 6: Final answer
    x = 857,994.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.