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Finding the Third Proportional to 113,620 and 238,660

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Solution

The third proportional to 113,620 and 238,660 is: 501,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,620 : 238,660 = 238,660 : x
  2. Step 2: Convert to fraction form
    113,620/238,660 = 238,660/x
  3. Step 3: Cross multiply
    113,620x = 238,660 × 238,660
  4. Step 4: Simplify right side
    113,620x = 56,958,595,600
  5. Step 5: Solve for x
    x = 56,958,595,600/113,620
  6. Step 6: Final answer
    x = 501,307.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.