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Finding the Third Proportional to 111,083 and 238,582

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Solution

The third proportional to 111,083 and 238,582 is: 512,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,083 : 238,582 = 238,582 : x
  2. Step 2: Convert to fraction form
    111,083/238,582 = 238,582/x
  3. Step 3: Cross multiply
    111,083x = 238,582 × 238,582
  4. Step 4: Simplify right side
    111,083x = 56,921,370,724
  5. Step 5: Solve for x
    x = 56,921,370,724/111,083
  6. Step 6: Final answer
    x = 512,421.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.