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Finding the Third Proportional to 109,256 and 236,008

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Solution

The third proportional to 109,256 and 236,008 is: 509,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,256 : 236,008 = 236,008 : x
  2. Step 2: Convert to fraction form
    109,256/236,008 = 236,008/x
  3. Step 3: Cross multiply
    109,256x = 236,008 × 236,008
  4. Step 4: Simplify right side
    109,256x = 55,699,776,064
  5. Step 5: Solve for x
    x = 55,699,776,064/109,256
  6. Step 6: Final answer
    x = 509,809.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.