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Finding the Third Proportional to 109,593 and 236,118

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Solution

The third proportional to 109,593 and 236,118 is: 508,715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,593 : 236,118 = 236,118 : x
  2. Step 2: Convert to fraction form
    109,593/236,118 = 236,118/x
  3. Step 3: Cross multiply
    109,593x = 236,118 × 236,118
  4. Step 4: Simplify right side
    109,593x = 55,751,709,924
  5. Step 5: Solve for x
    x = 55,751,709,924/109,593
  6. Step 6: Final answer
    x = 508,715.98

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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.