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Finding the Third Proportional to 109,365 and 238,494

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Solution

The third proportional to 109,365 and 238,494 is: 520,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,365 : 238,494 = 238,494 : x
  2. Step 2: Convert to fraction form
    109,365/238,494 = 238,494/x
  3. Step 3: Cross multiply
    109,365x = 238,494 × 238,494
  4. Step 4: Simplify right side
    109,365x = 56,879,388,036
  5. Step 5: Solve for x
    x = 56,879,388,036/109,365
  6. Step 6: Final answer
    x = 520,087.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.