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Finding the Third Proportional to 103,026 and 217,305

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Solution

The third proportional to 103,026 and 217,305 is: 458,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,026 : 217,305 = 217,305 : x
  2. Step 2: Convert to fraction form
    103,026/217,305 = 217,305/x
  3. Step 3: Cross multiply
    103,026x = 217,305 × 217,305
  4. Step 4: Simplify right side
    103,026x = 47,221,463,025
  5. Step 5: Solve for x
    x = 47,221,463,025/103,026
  6. Step 6: Final answer
    x = 458,345.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.