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Finding the Third Proportional to 111,896 and 236,750

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Solution

The third proportional to 111,896 and 236,750 is: 500,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,896 : 236,750 = 236,750 : x
  2. Step 2: Convert to fraction form
    111,896/236,750 = 236,750/x
  3. Step 3: Cross multiply
    111,896x = 236,750 × 236,750
  4. Step 4: Simplify right side
    111,896x = 56,050,562,500
  5. Step 5: Solve for x
    x = 56,050,562,500/111,896
  6. Step 6: Final answer
    x = 500,916.59

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.