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Finding the Third Proportional to 109,459.50 and 236,383

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Solution

The third proportional to 109,459.50 and 236,383 is: 510,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,459.50 : 236,383 = 236,383 : x
  2. Step 2: Convert to fraction form
    109,459.50/236,383 = 236,383/x
  3. Step 3: Cross multiply
    109,459.50x = 236,383 × 236,383
  4. Step 4: Simplify right side
    109,459.50x = 55,876,922,689
  5. Step 5: Solve for x
    x = 55,876,922,689/109,459.50
  6. Step 6: Final answer
    x = 510,480.34

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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.