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Finding the Third Proportional to 107,717 and 220,658

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Solution

The third proportional to 107,717 and 220,658 is: 452,017.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,717 : 220,658 = 220,658 : x
  2. Step 2: Convert to fraction form
    107,717/220,658 = 220,658/x
  3. Step 3: Cross multiply
    107,717x = 220,658 × 220,658
  4. Step 4: Simplify right side
    107,717x = 48,689,952,964
  5. Step 5: Solve for x
    x = 48,689,952,964/107,717
  6. Step 6: Final answer
    x = 452,017.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.