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Finding the Third Proportional to 104,382 and 232,669

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Solution

The third proportional to 104,382 and 232,669 is: 518,622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,382 : 232,669 = 232,669 : x
  2. Step 2: Convert to fraction form
    104,382/232,669 = 232,669/x
  3. Step 3: Cross multiply
    104,382x = 232,669 × 232,669
  4. Step 4: Simplify right side
    104,382x = 54,134,863,561
  5. Step 5: Solve for x
    x = 54,134,863,561/104,382
  6. Step 6: Final answer
    x = 518,622.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.