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Finding the Third Proportional to 108,382 and 229,887

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Solution

The third proportional to 108,382 and 229,887 is: 487,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,382 : 229,887 = 229,887 : x
  2. Step 2: Convert to fraction form
    108,382/229,887 = 229,887/x
  3. Step 3: Cross multiply
    108,382x = 229,887 × 229,887
  4. Step 4: Simplify right side
    108,382x = 52,848,032,769
  5. Step 5: Solve for x
    x = 52,848,032,769/108,382
  6. Step 6: Final answer
    x = 487,608.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.