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Finding the Third Proportional to 205,956 and 446,167.13

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Solution

The third proportional to 205,956 and 446,167.13 is: 966,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,956 : 446,167.13 = 446,167.13 : x
  2. Step 2: Convert to fraction form
    205,956/446,167.13 = 446,167.13/x
  3. Step 3: Cross multiply
    205,956x = 446,167.13 × 446,167.13
  4. Step 4: Simplify right side
    205,956x = 199,065,103,430.77
  5. Step 5: Solve for x
    x = 199,065,103,430.77/205,956
  6. Step 6: Final answer
    x = 966,541.90

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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.