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Finding the Third Proportional to 104,714 and 232,648

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Solution

The third proportional to 104,714 and 232,648 is: 516,884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,714 : 232,648 = 232,648 : x
  2. Step 2: Convert to fraction form
    104,714/232,648 = 232,648/x
  3. Step 3: Cross multiply
    104,714x = 232,648 × 232,648
  4. Step 4: Simplify right side
    104,714x = 54,125,091,904
  5. Step 5: Solve for x
    x = 54,125,091,904/104,714
  6. Step 6: Final answer
    x = 516,884.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.