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Finding the Third Proportional to 108,557 and 236,230

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Solution

The third proportional to 108,557 and 236,230 is: 514,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,557 : 236,230 = 236,230 : x
  2. Step 2: Convert to fraction form
    108,557/236,230 = 236,230/x
  3. Step 3: Cross multiply
    108,557x = 236,230 × 236,230
  4. Step 4: Simplify right side
    108,557x = 55,804,612,900
  5. Step 5: Solve for x
    x = 55,804,612,900/108,557
  6. Step 6: Final answer
    x = 514,058.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.