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Finding the Third Proportional to 102,026 and 220,446

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Solution

The third proportional to 102,026 and 220,446 is: 476,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,026 : 220,446 = 220,446 : x
  2. Step 2: Convert to fraction form
    102,026/220,446 = 220,446/x
  3. Step 3: Cross multiply
    102,026x = 220,446 × 220,446
  4. Step 4: Simplify right side
    102,026x = 48,596,438,916
  5. Step 5: Solve for x
    x = 48,596,438,916/102,026
  6. Step 6: Final answer
    x = 476,314.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.