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Finding the Third Proportional to 111,955 and 236,545

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Solution

The third proportional to 111,955 and 236,545 is: 499,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,955 : 236,545 = 236,545 : x
  2. Step 2: Convert to fraction form
    111,955/236,545 = 236,545/x
  3. Step 3: Cross multiply
    111,955x = 236,545 × 236,545
  4. Step 4: Simplify right side
    111,955x = 55,953,537,025
  5. Step 5: Solve for x
    x = 55,953,537,025/111,955
  6. Step 6: Final answer
    x = 499,785.96

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.