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Finding the Third Proportional to 102,546 and 219,852

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Solution

The third proportional to 102,546 and 219,852 is: 471,348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,546 : 219,852 = 219,852 : x
  2. Step 2: Convert to fraction form
    102,546/219,852 = 219,852/x
  3. Step 3: Cross multiply
    102,546x = 219,852 × 219,852
  4. Step 4: Simplify right side
    102,546x = 48,334,901,904
  5. Step 5: Solve for x
    x = 48,334,901,904/102,546
  6. Step 6: Final answer
    x = 471,348.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.