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Finding the Third Proportional to 108,529 and 232,633

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Solution

The third proportional to 108,529 and 232,633 is: 498,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,529 : 232,633 = 232,633 : x
  2. Step 2: Convert to fraction form
    108,529/232,633 = 232,633/x
  3. Step 3: Cross multiply
    108,529x = 232,633 × 232,633
  4. Step 4: Simplify right side
    108,529x = 54,118,112,689
  5. Step 5: Solve for x
    x = 54,118,112,689/108,529
  6. Step 6: Final answer
    x = 498,651.17

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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.