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Finding the Third Proportional to 104,818 and 232,856

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Solution

The third proportional to 104,818 and 232,856 is: 517,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,818 : 232,856 = 232,856 : x
  2. Step 2: Convert to fraction form
    104,818/232,856 = 232,856/x
  3. Step 3: Cross multiply
    104,818x = 232,856 × 232,856
  4. Step 4: Simplify right side
    104,818x = 54,221,916,736
  5. Step 5: Solve for x
    x = 54,221,916,736/104,818
  6. Step 6: Final answer
    x = 517,295.85

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