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Finding the Third Proportional to 102,266 and 219,712

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Solution

The third proportional to 102,266 and 219,712 is: 472,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,266 : 219,712 = 219,712 : x
  2. Step 2: Convert to fraction form
    102,266/219,712 = 219,712/x
  3. Step 3: Cross multiply
    102,266x = 219,712 × 219,712
  4. Step 4: Simplify right side
    102,266x = 48,273,362,944
  5. Step 5: Solve for x
    x = 48,273,362,944/102,266
  6. Step 6: Final answer
    x = 472,037.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.