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Finding the Third Proportional to 109,590 and 236,109

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Solution

The third proportional to 109,590 and 236,109 is: 508,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,590 : 236,109 = 236,109 : x
  2. Step 2: Convert to fraction form
    109,590/236,109 = 236,109/x
  3. Step 3: Cross multiply
    109,590x = 236,109 × 236,109
  4. Step 4: Simplify right side
    109,590x = 55,747,459,881
  5. Step 5: Solve for x
    x = 55,747,459,881/109,590
  6. Step 6: Final answer
    x = 508,691.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.