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Finding the Third Proportional to 102,264 and 219,708

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Solution

The third proportional to 102,264 and 219,708 is: 472,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,264 : 219,708 = 219,708 : x
  2. Step 2: Convert to fraction form
    102,264/219,708 = 219,708/x
  3. Step 3: Cross multiply
    102,264x = 219,708 × 219,708
  4. Step 4: Simplify right side
    102,264x = 48,271,605,264
  5. Step 5: Solve for x
    x = 48,271,605,264/102,264
  6. Step 6: Final answer
    x = 472,029.31

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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.